I need help please there a photo

I Need Help Please There A Photo

Answers

Answer 1

Answer:

A. Vertical angles

Step-by-step explanation:

\(\angle a \: and\: \angle b \) are vertical angles.

Hope it helps you in your learning process.

Answer 2
ANSWER: vertical angels

Related Questions

Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4. 5, negative 3. 0, negative 1. 5, 0. 0, 1. 5. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5. 5, negative 4. 5, negative 3. 5, negative 2. 5, negative 1. 5. The second row, y, has the entries, 10, 8, 6, 4, 2. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5. 5, negative 5. 5, negative 5. 5, negative 5. 5, negative 5. 5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7. 5, negative 2. 5, 5. 0, 12. 5, 25. 0.

Answers

You can use the definition of a directly variating function to deduce which table represents such function.

The fourth table represents direct variation with coefficient of variation as 2.5

What is a directly variating function?

A function y = f(x) is said to be directly variating if we can write the function as: y = kx for some constant value k.

Checking all the tables to see which table is representing such functionFor first table, lets assume y = kx, then

For x = -3, y = -4.5, thus k = y/x = -4.5/-3 = -1.5

Lets check if this k is preserved for next pairs of values.

For x = -1, we will have y = 1.5 times -1 = -1.5 but y = -3 thus this table doesn't represent direct variation.

For second table, lets assume y = kx, then

For  x = -5.5, y = 10, thus k = y/x = 10/-5.5 = -1.818..

Now for x = -4.5, y should be kx = -4.5 times -1.818.. = 8.18.. but given y is 8. Thus this table doesn't represent direct variation.

For third table, lets assume y = kx, then

For x = -5.5, there are many values of y. But since k is assumed constant and x = -5.5 is also a constant thus y should be a unique constant and is not supposed to have multiple values as shown in table, thus it doesn't represent direct variation.

Actually, this isn't a function either since for one input, a function always outputs only one output.

For fourth table, lets assume y = kx, then

For x -3, y = -7.5, thus k = y/x = -7.5/-3 = 2.5

Now for rest of the values of x, we expect these values:

\(x = -1, y = kx = 2.5 \times -1 = -2.5\\\\ x = 2, y = kx = 2.5 \times 2 = 5.0\\\\ x = 5, y= kx = 2.5 \times 5 = 1.25\\\\ x = 10, y= kx = 2.5 \times 10 = 25.0\)

Since given y values are same as we obtained, thus, this table represents direct variation with factor 2.5

Thus, fourth table represents direct variation with coefficient of variation as 2.5

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Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns

Answers

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?




3/5 = 60%



0.06 = 60%



0.002 = 2%



1/4 = 75%

Answers

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

Is this the right answer?

Is this the right answer?

Answers

yes,

“Gymnosperms and angiosperms form two kinds of spores: microspores, which give rise to male gametophytes, and megaspores, which produce female gametophytes.”

help! will mark brainliest

help! will mark brainliest

Answers

The last one is 19.

a current source in a linear circuit has is = 5 cos(a π t 25°) a. what is the amplitude of the current, where a = 24?

Answers

The amplitude of the current in the given linear circuit is 5

The amplitude of the current in a linear circuit is the maximum value that the current can reach.

In the given equation, 5 cos(a π t + 25°), the amplitude of the current is represented by the coefficient of the cosine function, which is 5.

Therefore, the amplitude of the current is 5.

It is important to note that the value of a, which is 24 in this case, does not affect the amplitude of the current. The value of a only affects the frequency of the current, which determines how quickly the current oscillates between its maximum and minimum values.

In conclusion, the amplitude of the current in the given linear circuit is 5.

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the foci of an ellipse are (5,0) and (-5,0), and the vertices are (8,0) and (-8,0). find an equation of the ellipse. then sketch the conic section and bring the sketch to your discussion section. which form (below) does the equation of the given ellipse fit?

Answers

according to the question

given data in the question,

the foci of an ellipse are (5,0) and (-5,0)

and vertices are (8,0) and (-8,0)

** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the centre at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

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** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the center at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

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The equation of the ellipse with foci as (5,0) and (-5,0) is

\(\frac{x^2}{49}+\frac{y^2}{24}=1\)

What is an ellipse simple definition?

A plane section of a right circular cone that is a closed curve is produced by a point moving in such a way that the sum of its distances from two fixed points is a constant.

How do you know if an equation is an ellipse?

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is the equation in standard form for a conic section. Here, A, B, C, D, E, and F are all real integers, and A 0, B 0, and C 0. The conic section is an ellipse if B2 - 4AC 0.

where the center is Pt(h,k). (a variable placed such that it lines up with the main axis)

The relative vertices' distances from the center are a and b.

the foci's separations from the center are: a > b

It's suggested that you sketch it: Vertices (-7,0), Focus (-5,0), and (5,0). (7,0).

then finding b 

 when 49 - b2 = 25.

The relative vertices' distances from the center are a and b.

furthermore, 

the foci's separations from the center are: a > b

The equation for an opening up and down hyperbola

 having C(h,k), vertices "b" units up and down from the center, and a transverse axis length of 2b.

Foci

29 units away from the center, along x = h

& Asymptotes Lines Through C(h,k), Slope m = b/a

Equation of a Hyperbola Opening Right and Left Standard Form:

with C(h,k), vertices 'a' units to the right and left of the center, and 2a the transverse axis length

y = k along 29 units to the right and left of the center

& Asymptotes Lines through C(h,k), slopes m = b/a

 is the vertex form of a Parabola with an opening up (a>0) or down (a0).

where the vertex is (h,k), and the line of symmetry is (x = h).

The conventional form is  with (h,k + p) as the main focus.

the vertex form of a Parabola opening right(a>0) or left(a0).

where y = k is the Line of Symmetry and (h,k) is the vertex

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what is y=-x-4 if x=-2

Answers

Answer:

-2

Step-by-step explanation:

The answer is -2

Explanation:

First of all we need to identify the problem.

Y= -X-4

We can tell already from this that the X is going to be negative.

If X=-2

Now we can change the problem to:

Y= -2-4

And can even change it to

-2-4

Well the way I learned it

A negative number minus a negative number is a negative number

A positive number minus a positive number is a positive number

Simple Right?

So what's a negative number minus a positive number?

Its a negative number!

So the answer is -6

a jersey has two digit number.in how many ways can the number be arranged if a)no double digit is allowed b)double digit are allowed​

Answers

Answer:

a) 90

b) 100

Step-by-step explanation:

This is a probability problem. In order to solve it, we must multiply the number of possible numbers by eachother.

a) the first digit can be any number between 0 and 9. That's 10 options. The second digit must be different from the first one: that's 9 options. 10x9=90

b) the first digit can be any number between 0 and 9. That's 10 options. The second digit can also be any number between 0 and 9. That's also 10 options. 10x10=100

Write the sentence in a inequality. A number n minus 3 is at least -5

Answers

n-3≥-5
Hope this helps!! :)

THERES A PHOTO HELP ME PLS

THERES A PHOTO HELP ME PLS

Answers

The slope is : 24

The Y axis is : 345

Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?

Answers

Answer:52 x 6=312

Step-by-step explanation:

Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.

Analysis: Our goal in this activity is to calculate a 95% confidence interval for the difference in proportions that think that the COVID-19 situation is getting better when comparing Republicans to Democrats. Let group 1 be Republicans, and group 2 be Democrats.
1. What population parameter are we trying to build an interval estimate for? Use correct notation
2. Calculate the sample estimate for this quantity. Use correct notation.
3. Now we use Statkey to build a bootstrap confidence interval. Create a bootstrap distribution using at least 5,000 bootstrap samples. What is the standard error for the original sample statistic?
4. What is the center of your bootstrap distribution?
5. How does it compare to the sample estimate from the original sample?
6. Compute the 95% confidence interval for the population parameter.

Answers

1. The population parameter are we trying to build an interval estimate for is p2 - p1.

2. The sample estimate for this quantity is 5000.

3. The standard error for the original sample statistic is μ

4. The center of your bootstrap distribution is variability.

5.  The bootstrap distribution represents many possible values of the sample statistic

6. The 95% confidence interval for the population parameter is 2.5 percentile

The population parameter we are trying to estimate is the difference in proportions between Republicans and Democrats who think that the COVID-19 situation is getting better. We can represent this parameter as p1 - p2, where p1 is the proportion of Republicans who think the COVID-19 situation is getting better, and p2 is the proportion of Democrats who think the COVID-19 situation is getting better.

To calculate the sample estimate for this quantity, we need to collect data from a sample of Republicans and Democrats and calculate the difference in proportions who think the COVID-19 situation is getting better.

To build a bootstrap confidence interval, we first create a bootstrap distribution by resampling our original sample with replacement many times at least 5,000 times.

The center of our bootstrap distribution is the mean of the bootstrap samples, which is an estimate of the true population parameter. We can represent this center as the mean of our bootstrap distribution, denoted as μ.

The center of the bootstrap distribution is likely to be close to the sample estimate, but it may be slightly different due to the variability in the bootstrap samples.

To compute the 95% confidence interval, we need to find the range of values in our bootstrap distribution that contains 95% of the values. We can do this by finding the 2.5th percentile and the 97.5th percentile of the bootstrap distribution, which represent the lower and upper bounds of our confidence interval.

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Samantha writes the exponential equation y=3,000*1.1^x. Which of the following situations could be modeled by this function?

Samantha writes the exponential equation y=3,000*1.1^x. Which of the following situations could be modeled

Answers

Answer:

The second option

Step-by-step explanation:

please help with this. thanks.

please help with this. thanks.

Answers

15.6 is the missing variable

Answer:

15.59in.

Step-by-step explanation:

a² + b² = c²

a² + 9² = 18²

a² = √9²

a = 15.6

good luck, i hope this helps :)

Can someone help me with these two questions?PLS

Can someone help me with these two questions?PLS

Answers

i think the first question only has one solution
because all u need to do is to just move x to one side and the numbers to the other side

Answer:

One

Step-by-step explanation:

3x-5=-3 add 5 to each side.

3x-5+5=-3+5   simplify.

3x=2       divide each side by three.

3x/3=2/3     simplify

x=2/3

The State of California keeps track of how many millions of students are learning English as a second language each year.


Year 2003 2004 2005 2006 2007
English Learners 1.600 1.599 1.592 1.570 1.560

a. Find an equation for the median-fit line.

b. Predict the number of students who were learning English in California in 2001.

c. Predict the number of students who were learning English in California in 2010.

please show all work

Answers

Answer:

a. To find the equation for the median-fit line, we need to first determine the slope (m) and the y-intercept (b) of the line. We can use the following formulas to calculate these values:

m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)

b = median y - m(median x)

Where n is the number of data points, x is the independent variable (year), y is the dependent variable (number of students learning English), Σ means to sum, and xy represents the product of x and y.

For this dataset, we have 5 data points, so n = 5.

x = 2003, 2004, 2005, 2006, 2007

y = 1.600, 1.599, 1.592, 1.570, 1.560

Σx = 10,015

Σy = 7,966

Σxy = 31,948

Σx^2 = 40,307

m = (531948 - 100157966)/(5*40307 - 10015^2) = -0.007

median x = 2005

median y = 1592

b = 1592 - -0.007 * 2005 = 1597.014

The equation for the median-fit line is:

y = -0.007x + 1597.014

b. To predict the number of students who were learning English in California in 2001, we can substitute 2001 for x in the median-fit line equation:

y = -0.007(2001) + 1597.014 = 1600.087

c. To predict the number of students who were learning English in California in 2010, we can substitute 2010 for x in the median-fit line equation:

y = -0.007(2010) + 1597.014 = 1590.028

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3x^2-5x+2 5x^2-2x-6 add the two expression

3x^2-5x+2 5x^2-2x-6 add the two expression

Answers

Answer:

8x^2-7x-4

Step-by-step explanation:

Answer:

8x^2 - 7x -4

Step-by-step explanation:

for each of the following, show that the differential form is not exact, but becomes exact when multiplied through by the given integrating factor

Answers

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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the following test have all been ordered at the same time on different inpatients. there is only one phlebotomist on duty. which test should the phlebotomist collect first?

Answers

The phlebotomist should first collect STAT electrolytes in the ER.

A medical professional who is trained to draw blood samples from patients is known as phlebotomist. The process of taking blood from vein with the help of a needle is known as phlebotomy. An electrolyte test is a blood test that give information about an electrolyte imbalance in the body.

Electrolytes are minerals and salts, such as sodium, Chloride, potassium, and bicarbonate which are found in the blood. These are responsible for conducting electrical impulses in the body. STAT is a short form of a Latin word 'Statim' which means immediately. The phlebotomist should first collect STAT electrolytes in the ER.

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(1)[3 Pts] The probability of producing a high-quality color print is 0.10. How many prints do you have to produce so that the probability of producing at least one quality print is larger than 0.90

Answers

The number of prints that the probability of producing at least one quality print is 22.

Given that the probability of producing a high-quality color print is 0.10.

The binomial distribution summarizes the number of trials or observations when each trial has an equal chance of reaching a certain value. The binomial distribution determines the probability of observing a particular number of positive results in a defined number of tests.

Probability of high-quality color print (P) = 0.1

Probability of producing not high-quality color print (1-P) = 0.9

Assume the no. of prints to produce 'n' and these are produced independently say 'x' be the no. of producing quality prints, which follows a binomial distribution.

The probability function of binomial distribution is

\(P(X=x)\left(\begin{array}{l}n\\ x\end{array}\right)P^x(1-P)^{n-x},x=0,1,2,.....,n\)

Given that

P(X≥1)≥0.90

1-P(X=0)≥0.90

1-(1-P)ⁿ≥0.90

1-(0.90)ⁿ≥0.90

(0.90)ⁿ≥0.10

Now, taking log of both sides, we get

nlog(0.90)≥log(0.10)

n(0.1053)≥2.3025

n≥21.86

n≈22

Hence, the probability of producing a high-quality color print is 0.10 and the number of prints to produce so that the probability of producing at least one quality print is larger than 0.90 is 22.

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While on vcacation, kevin and his family visit mount rushmore in south dakota. They watcha movie in the vistor center for 1/2 of an hour. This accounta for 1/4 og the toatl time the spend at mount rushmore. What equation can you use to find the total amount of time t kevin's family spends at mount rushmore

Answers

Answer:

t = 1/2 ÷ 1/4

t = 2 hours

Step-by-step explanation:

Time spent watching movies = 1/2 of an hour

This accounts for 1/4 of the total time thei spend at mount rushmore.

1/2 = 1/4t

Where t = total time they spent at mount rushmore (hours)

1/2 = 1/4t

Determine the equation to find t

t = 1/2 ÷ 1/4

= 1/2 × 4/1

= 4 / 2

= 2

t = 2 hours

What is the answer to this question?
will get awarded with brainliest!
(6x-7)(2x+5)

Answers

12x^2 + 16x - 35
hope it helps

A new cars salesperson, sold an average of $44,531 per day for the first 2 days she worked. The next 11 days she worked, she sold an average of $50,063. How much did she sell on average per day over the entire time she worked??

Answers

Given:

First 2 days the salesperson sold an average of $44531 cars.

For next 11 days she sold an average of $50063 cars.

To find the sell on average per day over the entire time,

The total cost is,

\(2(44531)+11(50063)=639755\)

The total number of days she work is 2+11=13.

So, the average cost per day is,

\(a=\frac{639755}{13}=49211.92308\)

Answer: the average cost per day over entire time salesperson worked is $49211.92

Which expression is equivalent to (q Superscript 6 Baseline) squared?
q cubed
q Superscript 8
q Superscript 12
q Superscript 36

Answers

Raising q to the power of 6 and then squaring it is the same as raising q to the power of 12. Option C.

The expression \((q^6)^2\) can be simplified using the power of a power property, which states that when you raise an exponentiated quantity to another exponent, you multiply the exponents. Applying this property, we have \((q^6)^2 = q^(6*2) = q^{12.\)

Therefore, the expression \((q^6)^2\) is equivalent to \(q^{12.\)

To understand this, let's break it down step by step:

Start with \(q^6\): This means q raised to the power of 6.

Square \(q^6\): We multiply the exponent 6 by 2, giving us 12.

The result is \(q^{12\): This means q raised to the power of 12.

Hence, \((q^6)^2\) simplifies to \(q^{12.\)

In summary, the expression \((q^6)^2\) is equivalent to \(q^{12\). So Option C is correct.

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3[w-5]=[2w+10] thank you

Answers

Answer:

\(w=25\)

Step-by-step explanation:

So we have the equation (I'm assuming the brackets are synonymous with parentheses):

\(3(w-5)=(2w+10)\)

Distribute the left:

\(3w-15=2w+10\)

Add 15 to both sides:

\(3w=2w+25\)

Subtract 2w from both sides:

\(w=25\)

And we're done!

Edit: Typo

Answer:

w = 25

Step-by-step explanation:

3(w - 5) = (2w + 10)

3w - 15 = 2w + 10

3w - 2 w = 10 + 15

w = 25

An airplane is flying from nyc to la. The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation d=0.15t

Answers

Answer:

It will cover 4.5 miles in 30 seconds.

Step-by-step explanation:

An airplane is flying from nyc to la.

The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :

d=0.15t ...(1)

Let us assume we need to find the distance at t = 30 s.

Put t = 30 s in equation (1).

d=0.15 × 30

d = 4.5 miles

Hence, it will cover 4.5 miles in 30 seconds.

Determine the missing angle measure.

Determine the missing angle measure.

Answers

Answer:

38°

Step-by-step explanation:

We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°

Answer:

X=38 degrees

Step-by-step explanation:

A straight line is 180 degrees so to find the missing part you can do 180-142.

That way you get the missing angle measurement.

numeric prefixes are used to name select one compounds. they are not used for select one compounds, but the charges must select one .

Answers

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.

Determine the equation of the line that passes through (-8,9) and (2,-6)Express you answer as a fraction

Answers

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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