Write the equation of the line with a slope of 3/2that contains the point ( — 4, − 2).

Answer:

45

Step-by-step explanation:

Because its supplementary

Answer:

Angle 2: 45

Angle 3: 45

Angle 4: 135

Angle 5: 135

Angle 6: 45

Angle 7: 45

Angle 8: 135

Step-by-step explanation:

Angle 1 and 2 are supplementary meaning the angles add to 180 degrees.

    180-135=45

4 is opposite of 1, so it is the same value (it is also supplementary to angle 2)

3 is opposite 2 and supplementary to 1, so it is 45 as well.

5 is the same as 1 because it is made from the same line crossing a parallel line to the one angle 1 is formed from (sorry that sounds confusing)

6,7,8 are found the same way as 2,3,4, and 5.

The image coordinates of point U, after translating the RSTU rectangle by T(2,-3), would be U(6, 6).

To find the image coordinates of U, we need to apply the translation vector T(2,-3) to each of the original coordinates.

The translation vector represents the horizontal and vertical distances by which each point is moved.

Starting with the original coordinates of point U, which are (4, 9), we add the horizontal distance of 2 to the x-coordinate and subtract the vertical distance of 3 from the y-coordinate.

Therefore, the new x-coordinate of U is 4 + 2 = 6, and the new y-coordinate is 9 - 3 = 6.

Thus, the image coordinates of point U after the translation are (6, 6). This means that U has been moved 2 units to the right and 3 units downward from its original position.

for such more questions on  coordinates

https://brainly.com/question/29660530

#SPJ8

The number that is one standard deviation above the mean of the data-set is given as follows:

21.8.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

Hence the mean of the data-set is given as follows:

M = (9 + 9 + 19 + 18 + 24)/5

M = 15.8.

The sum of the differences squared is given as follows:

SS = (9 - 15.8)² + (9 - 15.8)² + (19 - 15.8)² + (18 - 15.8)² + (24 - 15.8)²

SS = 174.8.

The standard deviation is given by the square root of the sum of the differences squared divided by the cardinality, hence:

\(s = \sqrt{\frac{174.8}{5}}\)

s = 6.

Hence the measure that is one standard deviation above the mean is:

15.8 + 6 = 21.8.

More can be learned about the mean of a data-set at brainly.com/question/1136789

#SPJ1

Answer:

32.81 meters

Step-by-step explanation:

First divide by 4 to get the lengths of the sides.

92.8/4=23.2

Then to find the diagnol length do a side length multiplied by radical 2

23.2 sqaure root 2 = 32.81

The conditions of the line to be intersecting, parallel, and coincident are explained below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The types of lines are as follows:

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:

its m=185t

Step-by-step explanation:

because if you divide

An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.

Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:

m = kt

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

From Jacob's running, we have the following:

Constant of proportionality (k) = t/m

Constant of proportionality (k) = 400/2

Constant of proportionality (k) = 200

Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:

m = (200 - 15)t

m = 185t

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

Learn more about cross product property at

https://brainly.com/question/14308624

#SPJ1

Answer:

Step-by-step explanation:

We know that:

Let's compare with the slope in the equation and the slope formula.

Hence, the 'run' must be 4.

Hoped this helped.

\(BrainiacUser1357\)

Answer: $128

Step-by-step explanation: So first Bob earned 8 dollars. Then he started earning 10 dollars a day every week for 2 weeks. that would have been 148 dollars (plus the 8 dollars he earned in the beginning), but he took a break once a week, subtracting 20 dollars from his pay, giving him 128 dollars in total.

Let me know if this was helpful! :D

Answer:

2187/78125

Step-by-step explanation:

T(n) = 3^(n-1) / 5^(n-1)

Answer:

5 calories

Step-by-step explanation:

So, Raquel will burn 5 calories in 1 minute.

I hope this helps!

Answer:

\(6 + 5 = 11 + 3 = 14 + 2 = 16\)

\(6 \div 5 \div 3 \div 2 = 0.2\)

\( 6 \times 5 \times 3 \times 2 = 180\)

Step-by-step explanation:

If its addition add them, multiplication multiply them, division divided them.

Answer:

Step-by-step explanation:

i need help sorry no answer got u

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

The area of a rectangle is given by the formula

So, you have

Therefore, the area of this rectangle is 16.25 square feet.

Answer:

Your slope is m=2

The slope-intercept form is  

y = m x + b , where  m  is the slope and  b  is the y-intercept.

y = m x + b , Find the values of  m  and  b  using the form  y = m x + b .

m = 2 b = − 7

The slope of the line is the value of  m , and the y-intercept is the value of  b .

Slope:  2

y-intercept:  − 7

Answer:

2

Step-by-step explanation:

y = mx + b

m = slope

Answer:X=3

Step-by-step explanation: Option B

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

read more about the construction of numbers at:

https://brainly.in/question/55819681

Answer:

see explanation

Step-by-step explanation:

(a)

the angles shown are alternate interior angles and are congruent

(c)

since they are congruent , then

- 1 + 8x = 7x + 11 ( subtract 7x from both sides )

- 1 + x = 11 ( add 1 to both sides )

x = 12

(d)

then

7x + 11 = 7(12) + 11 = 84 + 11 = 95

- 1 + 8x = - 1 + 8(12) = - 1 + 96 = 95

The first step of substitution method for given system is put x = 3y +3 in place of x into the equation 2x+3y=-12 .

The system of the equations in two variables x and y consists of two equation of the form a₁ x + b₁ y = c₁

and a₂ x + b₂ y = c₂

where a₁, a₂, b₁, b₂ , c₁, c₂ are constants

For substitution method, first expression of one variable is found from one equation and then put this expression in another equation to create a linear equation in second variable. Solve the linear equation in one variable for second variable and then put the value of second variable in first equation to solve for first variable

Given system of equations is :

2x + 3y = -12       .....(1)

x = 3y + 3          .....(2)

So the first step will be take expression for one variable from one equation and put it into another equation.

Take x = 3y +3 which is an expression for x from equation (2),

Then put it into equation (1)

⇒ 2 (3y +3 ) + 3 y = -12 , This is the first step of substitution method for this variable

Also, Learn more about the system of equation in two variables from the link below:

brainly.com/question/24085666

#SPJ1

Answer: its B

Step-by-step explanation:

because the circle is open and its the greater than sign

Answer:

E

Step-by-step explanation:

You use subtraction property of equality to get rid of that 4.

Subtract 4 from both sides basically.

You get 2x > 6

Then you divide both sides by 2 to get x > 3

Then you graph it.

So it starts on point 3, and since x is greater than 3, it goes to points greater than 3, so 4, 5, 6, ect. but it never goes below or on 3.

The graph starts on three, as 3.00000000000000001 is a viable solution, but  since it says > instead of the underlined >, it is an open circle like o---->

So it is E.

Answer:

x² - 6x + 8 = 0

or, x² - (4+2)x + 8 = 0

or, x² - 4x - 2x + 8 = 0

or, x(x-4) -2(x -4)= 0

or , (x-4) (x-2) = 0

either,

x - 2 = 0

x = 2

OR,

x - 4 = 0

x = 4

next ,

x-p = 9

or, 2-p = 9

p= -7

either,

x-p = 9

or, 4 - p = 9

or, p= -5

hope this will help you

Answer:

The 1st, the 4th, and the 5th ones are the answer :)

Step-by-step explanation:

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

https://brainly.com/question/34063927

#SPJ11

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

To learn more about factorise here,

https://brainly.com/question/10718512

https://brainly.com/question/24734894

Answer:

The points  -3, 5 and 8 are included in the solution set

Step-by-step explanation:

2 ≤ |x-3| ≤ 6

x-3 ≥ 2 or x-3 ≤ -2       -->      x ≥ 5 or x ≤ 1

-6 ≤ x-3 ≤ 6   -->  -3 ≤ x ≤ 9

-9  and -5 are smaller than -3 so they don't hold for the second inequality. -3  fits in both. but 0 and 2 don't fit in the first one.

then 5 does and 8 is included too.

The points  -3, 5 and 8 are included in the solution set

Answer:

1

Step-by-step explanation:

-3*3=-9+1=-8

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1

A: To find the intersection of the sets A and B, we need to find the elements that are common to both sets.

A = {x ∈ ℕ : 2 ≤ x < 19}

B = {x ∈ ℕ : x is even}

The intersection of the sets A and B is {x ∈ ℕ : 2 ≤ x < 19, x is even}

∩ = {4,6,8,10,12,14,16,18}

B: To find the difference of the sets A and B, we need to find the elements that are in set A but not in set B.

A = {x ∈ ℕ : 2 ≤ x < 19}

B = {x ∈ ℕ : x is even}

The difference of the sets A and B is {x ∈ ℕ : 2 ≤ x < 19, x is not even}

∖ = {3,5,7,9,11,13,15,17}

So the solution for A is ∩={4,6,8,10,12,14,16,18} and for B is ∖={3,5,7,9,11,13,15,17}