Answer:
12) y = 2x + 8
13) ( -4, 3)
14) y + 3 = 1(x + 2) ; y = x - 1
Step-by-step explanation:
12) ( -2, 4) and (1, 10)
m=(y2-y1)/(x2-x1)
m= (10-4)/(1+2)
m=6/3
m = 2
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8
13)
y - y1 = m(x - x1)
y - 3 = 2(x +4)
( -4, 3)
14) ( -2, -3) and (4, 3)
m=(y2-y1)/(x2-x1)
m=(3+3)/(4+2)
m=6/6
m=1
y - y1 = m(x - x1)
y + 3 = 1(x + 2)
y + 3 = x + 2
y = x - 1
Which of the following best describes the relationship between Angle a and angle b in the image below ( Choose all that apply)
You are correct in selecting "linear pairs" since they form a straight line.
The angles are also adjacent because they're next to each other like that. In fact, "linear pair" means "adjacent and supplementary".
The angles are not complementary because they don't add to 90 degrees. Instead, they add to 180 degrees so that's what makes them supplementary.
The angles are also not vertical angles. They would need to be opposite one another in an X configuration for this to happen. This means vertical angles cannot be adjacent, and vice versa.
2 Answers: Choice B and Choice CAngle a and angle b within the image are the linear pairs of angle within the image below.
What is the angle?It is a direction from which an individual observe something.
How to determine relationship between angles?From the figure we are able to find that angle a and angle b are the linear pair because these are formed when two lines intersect one another at one point. The angles are said to be linear if they're adjacent to every other after the intersection of the 2 lines. The sum of angles of a linear pair is often adequate to 180 degrees.
Hence the angle a and angle b are linear pairs.
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how many solutions does 3 ( x + 2 ) =3x + 1 have
Answer:
There are 0 solutions
Answer:
Zero
Step-by-step explanation:
Let's solve the equation first.
For now, I will focus on the LHS and simplify that:
3(x + 2) = 3x + 1
3x + 6 = 3x + 1
Rearrange
3x - 3x = 1 - 6
Simplify
0x = -5
0 = -5 which isn't true
So 3(x + 2) = 3x + 1 has 0 solutions.
Write a numerical expression for each verbal expression
1.The sum of four and nine times three
2.eighteen divided by the sum of two and seven
3. Ten divided by the product of four and five
4. The Difference of eleven and four times five
5. The sum of one and two divided by twenty
6. The sum of two and four and six times eight
7. The sum of twelve and sixteen divided by the sum of three and four
8. The difference of twenty-two and six divided by the sum of five and three
1. The sum of four and nine times three
(4 + 9)×32. eighteen divided by the sum of two and seven
\(\bold{\dfrac{18}{2+7}}\)
or: 18÷(2+7), or: 18/(2+7)
3. Ten divided by the product of four and five
\(\bold{\dfrac{10}{4\times5}}\)
or: 10÷(4×5), or: 10/(4×5)
4. The Difference of eleven and four times five
(11 - 4)×55. The sum of one and two divided by twenty
\(\bold{\dfrac{1+2}{20}}\)
or: (1+2)÷20, or: (1+2)/20
6. The sum of two and four and six times eight
(2 + 4 + 6)×87. The sum of twelve and sixteen divided by the sum of three and four
\(\bold{\dfrac{12+16}{3+4}}\)
or: (12+16)÷(3+4), or: (12+16)/(3+4)
8. The difference of twenty-two and six divided by the sum of five and three
\(\bold{\dfrac{22-6}{5+3}}\)
or: (22 - 6)÷(5+3), or: (22 - 6)/(5+3)
Answer:In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
1. fourth
The sum of a number and two is equal to the quotient of six and negative four.
2. first
The sum of a number and three is divided by five. The result is negative two.
3. third
The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.
4. second
Half of a number is added to four. This sum is equivalent to negative one.
5. fifth
The difference between four times a number and five has a result of negative eight.
Step-by-step explanation:
somebody come help me I'm stuck in this problem how do I simplify it using exponent rule
Answer:
-5x^4y^3
Step-by-step explanation:
so you divide -25 by 5 and the rule is if it is division for exponents then you subtract the exponent so 6-2=4, 7-4=3, 3-3=0. z^0 is 1 so we don't have to write it out.
solve the inequality.
|7x-5| < -3
Answer:
no solution
Step-by-step explanation:
3<7x−5<−3
Answer:
No solution
Step-by-step explanation:
The absolute value function is always positive or 0
Find two unit vectors orthogonal to both (8, 7, 1) and (-1, 1, 0). (smaller i-value) (larger i-value)
Two unit vectors orthogonal to both (8, 7, 1) and (-1, 1, 0) are (-1, -1, 15)/sqrt(227) and (-1, -1, 15)/sqrt(227).
To find two unit vectors orthogonal (perpendicular) to both (8, 7, 1) and (-1, 1, 0), we can use the cross product of the two given vectors. The cross product of two vectors will yield a vector that is orthogonal to both of them.
Let's calculate the cross product:
(8, 7, 1) × (-1, 1, 0) = [(7 * 0) - (1 * 1), (1 * -1) - (0 * 8), (8 * 1) - (7 * -1)]
= [-1, -1, 15]
Now, to obtain unit vectors, we divide this vector by its magnitude:
Magnitude of [-1, -1, 15] = sqrt((-1)^2 + (-1)^2 + 15^2) = sqrt(1 + 1 + 225) = sqrt(227)
Unit vector 1: (-1, -1, 15) / sqrt(227)
Unit vector 2: (-1, -1, 15) / sqrt(227)
Both of these unit vectors are orthogonal to both (8, 7, 1) and (-1, 1, 0).
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6:8 = n : 12 what is n
Answer:
n=9
Step-by-step explanation:
6:8=n:12
6/8=n/12
6x12=8xn
72=8n
72/8=n
n=9
Answer:
n = 9.
Step-by-step explanation:
6:8 = n:12
6 = n
8 12
Note: Perform cross multiplication
=6 ( 12) = 8 ( n )
=72 = 8n
Note: divide both side by 8
=72/8 = 8n/8
9 = n OR n= 9
Therefore the value of n is 9
This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
Since the distance AB is the radius of both circles:
AB = AC = BC = BD = AD = rSo the answer choices:
a. AC = BC
Correct, both equal to rb. AC = BD
Correct, both equal to rC. CD = AB
Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3d. ABCD is a square
Incorrect. ACBD is rhombuse. ABD is an equilateral triangle
Correct, all three sides are equal to rf. CD = AB + AB
Incorrect as CD = AB√3Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
Jeremy ran 4 kilometers in a race. How many meters did he run?
Answer:
4000m
1k =1000m
Step-by-step explanation:
If x is an eigenvector of an n×n matrix A with eigenvalue λ, then 4x is also an eigenvector of A, and it is has the same eigenvalue λ. True False
True. 4x is a re-scaled version of x, which is itself an eigenvector of A with associated eigenvalue λ. Multiplying every element in vector x by positive scalar, say 4, does not affect the direction of vector x, and thus 4x is also an eigenvector of A, which is still associated with the same eigenvalue λ.
From eigenvector-eigenvalue relationship, the eigenvectors of A can be determined by solving the following system of equations: (A - λI)x = 0. Where I is n×n identity matrix to our n×n matrix A. For4x, this is equivalent to (A - λI)4x = 0. That is, (4(A-λI)x) = 0. Since (A-λI)x = 0, then 4(A-λI)x = 0. Hence, 4x is still an eigenvector of A associated with the same eigenvalue λ.
Therefore, rescaling an eigenvector does not change the eigenvalue associated with it. That being said, 4x is also an eigenvector of A, and the associated eigenvalue is λ.
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Consider function H what is the range of function H
Answer:
It was -∞ < y < ∞
Step-by-step explanation:
None.
The range of the function is ( -∞ to +∞)
What is a Function?A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can have.
The function is of various types, logarithmic, exponential, quadratic, radical, etc.
The function is shown in the image,
The function is a hyperbolic function, represented by x²/a² -y²/b² = 1 for a hyperbola having a center at the origin.
The function can give any value from the set of real numbers and so,
The range of the function is a set of real numbers.
It seems your question is incomplete, the complete question is attached as an image.
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What does it mean when you use a 0. 05 level of significance (alpha level) to evaluate statistical results
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
What is significance level?In statistical hypothesis testing, a result has statistical significance when a result that is at least as "extreme" as the null hypothesis would be extremely rare if the null hypothesis were true. The significance level of an event (for example, a statistical test) is the likelihood that the event occurred by chance. We call an occurrence important if the level is relatively low, that is, the likelihood of occurring by chance is quite minimal. When the null hypothesis is true, the significance level is the chance of rejecting it. A significance level of 0.05, for example, represents a 5% chance of finding that a difference exists when there is none.
Here,
When the null hypothesis is true, the significance level, also known as alpha or, is the chance of rejecting it. A significance level of 0.05, for example, represents a 5% chance of finding that a difference exists when there is none.
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The graph of y=√x is reflected in the x-axis and then translated
down 3 units. What is an equation that produces this transformation?
A. -√x-3
B. y= -3-(√x)
C. y= 3- (√x)
D. y= -(√x-3)
Find the particular solution of the differential equation y ‘ −y=9 given the initial condition y(0)=5. Solve your answer for y. Y=
To find the particular solution of the given differential equation y' - y = 9 with the initial condition y(0) = 5, we can use the method of integrating factors.
First, rearrange the equation to get y' - y = 9 as y' - y - 9 = 0.
Now, notice that the coefficient of y' is 1 and the coefficient of y is -1. To make the equation exact, we need to multiply both sides by an integrating factor. In this case, the integrating factor is e^(-x).
Multiply both sides of the equation by
e^(-x) to get e^(-x)y' - e^(-x)y - 9e^(-x) = 0.
Now, the left side of the equation can be rewritten as
(e^(-x)y)' - 9e^(-x) = 0.
Integrate both sides with respect to x to get
e^(-x)y - 9∫e^(-x)dx = C,
where C is the constant of integration.
Simplifying further, we have
e^(-x)y + 9e^(-x) = C.
Since we are given the initial condition y(0) = 5, we can substitute x = 0 and y = 5 into the equation to find the value of C.
Plugging in the values, we have
e^(0)(5) + 9e^(0) = C,
which gives us 5 + 9 = C. Thus, C = 14.
Substituting C = 14 back into the equation, we have e^(-x)y + 9e^(-x) = 14.
Now, solve this equation for y to find the particular solution.
Rearranging the equation, we have e^(-x)y = 14 - 9e^(-x).
Divide both sides by e^(-x) to get y = (14 - 9e^(-x))e ^x.
Simplifying further, we have y = 14e^x - 9.
Therefore, the particular solution of the given differential equation is y = 14e^x - 9.
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I really need some help
Answer:
y-2=2(x-12)
the alternative is
y+3=2(x-2)
Step-by-step explanation:
Simplify the expression
Answer:(6-\(\sqrt{7}\)\(.^{2}\)
Step-by-step explanation:Ignore the point, put it withou the point
Write and graph an inequality for the situation.
12. A cruise ship can carry at most 3500 passengers.
An inequality for this situation "A cruise ship can carry at most 3500 passengers." is x ≤ 3,500.
A graph of the inequality x ≤ 3,500 is shown in the image attached below.
What is an inequality?
In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Note: At most simply refers to less than or equal to (≤) in Mathematics.
Since the cruise ship can only carry at most 3500 passengers, an inequality that models this situation is given by;
x ≤ 3,500
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Please help me with this problem. Don't show your work, just give the correct answer please.
Answer:
-120
Step-by-step explanation:
|x-120| is basically means x-120=0. so, the answer is 120. then it says that if x<120, the answer must be lower than 120 then we take negative because negative is lower than positive.
sorry if have some mistake
Answer:
-120 is the answer
Hope it helps uh!
?
Point C (2, 2) is the center of the circle. What is the ratio of the
length of AC to the length of DC ?
1:2
2:1
1:1
3:1
Answer:
1:1
Step-by-step explanation:
This is the right answer for Edmentum and Plato users.
Like and Rate!
The ratio of the length of AC to the length of DC is 1:1.
How do you calculate a ratio?Divide records A through statistics B to locate your ratio. In the example above, 5/10 = 0.5. Multiply by using the use of a hundred in case you need a percentage. if you want your ratio as a percent, multiply the solution using a hundred.
What is a ratio?A ratio is an ordered pair of numbers a and b, written a / b in which b does not exact 0. A percentage is an equation in which ratios are set similarly to each other. As for instance, if there's 1 boy and three women you can write the ratio as 1: three (for every boy there are 3 women).
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You fill up your car with 15 gallons of gasoline. How many pounds does the gasoline weigh?
Hint: (15 gal) (x qt/gal) (y pt/ qt) (z lb/pt)
When You fill up your car with 15 gallons of gasoline. then it weighs 90 pounds of weight.
What is Weight?the weight of an object is the force acting on the object due to gravity.
Given
A car with 15 gallons of gasoline is filled.
We need to find the weight of the gasoline
We know that 1 gallons of gasoline is 6 pounds
So now for 15 gallons will be fifteen times of 6 pounds
15×6
90 pounds
90 pounds is the weight of the gasoline.
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pls answer asap Problem#10 a A security code consists of a person's first and last initials and 4 digits.How many different security codes are possible? b Find the number of ways of forming a five-letter code in which no letter is repeated.
To form a five-letter code with no repeated letters, we need to select 5 different letters from the available options.
How many different security codes are possible with a person's first and last initials and 4 digits? (b) How many ways can a five-letter code be formed without repeating any letters?The number of different security codes possible can be calculated by multiplying the number of options for each component.
Assuming 26 letters in the alphabet and 10 digits, the number of different security codes is 26 (options for the first initial) * 26 (options for the last initial) * 10 (options for each digit) * 10 (options for each digit) * 10 (options for each digit) * 10 (options for each digit). Resulting in a total of 26^2 * 10^4 = 676,000 different security codes.Assuming 26 letters in the alphabet, the number of ways to form such a code is given by the combination formula, which is C(26, 5) = 26! / (5! * (26-5)!) = 26! / (5! * 21!) = (26 * 25 * 24 * 23 * 22) / (5 * 4 * 3 * 2 * 1) = 65,780 ways.
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the probability of getting an ace or a King from a pack of 52 cards is :
1/4
2/13
5/13
6/13
Answer:
2/13
Step-by-step explanation:
Cdgfsggdehfetgfrhfer
Which is the graph of the linear inequality 2x-3y < 12?
Answer:
First, transform the given equation into the slope-intercept form, y = mx + b.
2x - 3y < 12
3y > 2x - 12
y > \(\frac{2}{3}\)x - 4
Since the equation is y > \(\frac{2}{3}\)x - 4, first draw the graph of y = \(\frac{2}{3}\)x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.
conjecture the next number in the sequence 20 18 15 11 6
Answer:
0 it went minus 2 minus 3 minus and so forth
What is the answer? How to solve?
Answer:
a +73°=90°
a= 90°-73°
a =17°
d+18°=90°
d=90°-18°
d =72 °
HELPPP THANKS ILL GIVE BRAINLIEST! no links
Answer:
2, 10, 0, 4
Step-by-step explanation:
"regrouping 1 tenth into 10 hundredths" is taking one of those green tenth sticks and dividing it into 10 hundredth squares. That means that you have 2 wholes, 2 tenths (remaining green sticks), and 10 hundredths (because the only hundredths you have are the ones you got from that tenth you regrouped).
After crossing them out, you have 2 wholes, 0 tenths (because you only had 2 before), and 4 hundredths (because you crossed out 6 of the 10, 10-6=4).
Hope I could help you!
Help Pls ! I have absolutely no idea what i am looking at I guess I'm just bad at school.
The records that determines the lost of different crops grown on the farm during the whole year with an annual profitability of the farm is farm income statement.
What is cash flow statement ?Others are:
The Farm Sales is known to be used to record all sales in rice production.The kinds of farms sales records are:
Daily farm records.Records of farm implements and tools.Record of agricultural inputs/assets, etc,Cash flow statement is known to be the records that shows flows of sales intake and out of any enterprise. In terms of farming one can say farm Diary record.
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Which expression is equivalent to 8xy + xy + 19xy+X?
Answer:
0
Step-by-step explanation:
no mo explanation for this next time
Option is
AA
SAS
Not enough information to prove similarity
SSS
Answer:
AA as the angles are similar the sides are not similar so AA is the answer
Step-by-step explanation: