The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls, how many girls are in a class with 11 boys?

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]

[tex]m_a=\dfrac{-12+8}{8}[/tex]

[tex]m_a=\dfrac{-4}{8}[/tex]

[tex]m_a=-\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_a\times a_b=-1[/tex]

[tex]-\dfrac{1}{2}\times a_b=-1[/tex]

[tex]b=2[/tex]

Slope of line b is 2.

If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

Line b passing through (-8,-16) with slope 2. So, equation of line b is

[tex]y-(-16)=2(x-(-8))[/tex]

[tex]y+16=2(x+8)[/tex]

[tex]y+16=2x+16[/tex]

Subtract 16  from both sides.

[tex]y=2x[/tex]

Therefore, the equation of line b is [tex]y=2x[/tex].

Answer:

Vertex: (2, 11)

Y-Intercept: (0, 7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answers is A

The required equation of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decided to create parallel tracks through this portion of the railway.The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2) TO determine.

The equation is the relationship between variables and represented as y=ax + b  is an example of a polynomial equation.

Equation of the southbound track,
2x + 5y = 15
slope of the above equation is m = -2/5

Since the slope of the parallel lines are equal.

The equation of the parallel northbound track that runs through the point (4, – 2),
(y + 2) = -2/5 (x - 4)
5(y + 2) = -2 (x-4)
5y + 10 = - 2x +8
2x + 5y = 8-10
2x + 5y = -2

Thus, the required equation  of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

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Answer:

impossible

unlikely

neither unlikely nor likely

likely

certain

Step-by-step explanation:

I am not really sure, but I can say that I would go with; either B or C.  Sorry...

Answer:yes

Step-by-step explanation:kubjubjugjugjugjugjugjugju

Answer:

1/2

Step-by-step explanation:

Slope equals rise over run. To find this use two points that land evenly on the graph then count how ever many spaces up and then to the side. In this case, it goes up 1 and right 2, so put that into fraction form, 1/2, and that is your answer.

Answer:

1/2

Step-by-step explanation:

Answer:

Undefined.

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{4+8}{0-0}=\frac{12}{0}= undefined[/tex]

The slope is undefined.

Hope this helps.

Answer:

Undefined( If this is wrong then it is zero)

Step-by-step explanation:

The formula for this problem is y2 - y1/x2-x1. You can name any of those points 1 or 2 as long as they have the right coordinate.

4 - (-8)/0 - 0= 12/0 = Undefined

Answer: Listen to what the other person has to say, try to see from other perspectives, don't show anger or other person won't listen to what you have to say.

Step-by-step explanation:

Answer:

no sorry

Step-by-step explanation:

Answer:

y= -4x - 5

Step-by-step explanation:

5 is your y-intercept

The slope of the line which passes through the points (3,5) and (2,0) is 5

From the question,

We are to determine the slope of the line

The slope of a line with two given points can be determined from the formula

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Where m represents the slope

From the given information

x₁ = 3

y₁ = 5

x₂ = 2

y₂ = 0

Putting these into the formula,

We get

[tex]m = \frac{0-5}{2-3}[/tex]

Then,

[tex]m = \frac{-5}{-1}[/tex]

∴ m = 5

Hence, the slope of the line which passes through the points (3,5) and (2,0) is 5

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Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

[tex]m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

-4 and 3/4, also written as -4.75

Step-by-step explanation:

Answer:2.5v+5>5v

Step-by-step explanation:this definitely right

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

- 21 = b

b = -21

If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.

This is also referred to as the gradient of a line and measures its steepness and direction.

Slope = (y₂ - y₁) / (x₂ - x₁)

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

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Answer:

5y2 + -3y + 2

Step-by-step explanation:

Sorry only have the first one.

Answer:

Yes

Step-by-step explanation:

A Parallelogram is a flat shape with opposite sides parallel and equal in length.  NOTE: Squares, Rectangles and Rhombuses are all Parallelograms

Hope this helps (:

Answer:

x = 15°

Step-by-step explanation:

∠2 and ∠4 are same-side interior angles, meaning they add up to 180

2x + 10 + 4x + 80 = 180

Rearrange (collect like terms)

6x = 180 - 80 - 10

6x = 90

x = 15°

Answer:

Step-by-step explanation:

∠2 = 2x + 10

∠4 = 4x + 80

∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180

2x + 10 + 4x + 80 = 180

combine similar terms: 6x = 180 - 80 - 10

simplify: 6x = 90

solve for x = 90 / 6

               x = 15

Answer:

A) m=7

Step-by-step explanation:

Just divide 98 by 14

Answer:

A is the answer

Step-by-step explanation:

7×14 = 98

Answer: 19

Step 1: Divide.

940 ÷ 50 = 18.8

Step 2: Round 18.8 to the nearest one.

18.8 - 19

Answer to the question is 19.

Answer:

About 19 buses

Step-by-step explanation:

940/50 = 18.8 ≈ 19

Answer:

sdvsvsdv

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s B

Answer:

256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4 to 4th power=

4^4 or 4x4x4x4=

4x4= 16

4x4x4= 64

4x4x4x4= 256    <===== Answer

Answer:

True.

Step-by-step explanation:

Hope this helps!

Answer:

TRUE!!

Step-by-step explanation:

Good luck

Answer:

X=-1/2

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Answer:

x = -1/2 or -0.5

Step-by-step explanation:

4(2x - 2) + 2 = 4(x - 2)

open the parenthesis

8x - 8 + 2 = 4x - 8

add 8 to both sides of the equation

8x - 8 + 2 + 8 = 4x - 8 + 8

combine like terms

8x + 2 = 4x

subtract 4x from both sides of the equation

8x - 4x + 2 = 0

4x + 2 = 0

subtract 2 from both sides of the equation

4x + 2 - 2 = 0 -2

4x = -2

divide both sides by 4

4x/4 = -2/4

x = -1/2

Answer:

just substitute the numbers for the variable y, and see whichs are greater than or less than 6

Answer:

1

Step-by-step explanation:

13 - 7(-1) = 20 so no

13 - 7(0) = 13 so no

13 - 7(1) = 6 so yes

[is there a 2 there?] 13 - 7(2) = -1 so no

13 - 7(3) = -8 so no

Answer: -5

Step-by-step explanation:

substitute 0 for y

Answer:

good luck

Step-by-step explanation: