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3 years ago

8. PLS ANSWER!!!! and show work

Mathematics

1 answer:

Andrew [12]3 years ago

4 0

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

∴ m = 5

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line is 5

→ Substitute it in the form of the equation above

∴ y = 5x + b

→ To find the value of b substitute x and y in the equation by the

coordinates of any point on the line

∵ The line passes through point (-2, 1)

∴ x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

∴ 11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

∴ The equation of the parallel line is y = 5x + 11

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3 years ago

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3 years ago

Read 2 more answers

In the function y = -5x2 + 5 , the graph will open down, be shifted up 5 units, and it will be wider than the parent function y

masya89 [10]

We are considering the function $y=f(x)=-5 x^{2} +5$

the graph of this function is the graph of the parent function $y=g(x)= x^{2}$ after applying the following steps.

1. multiply by -1:

$-x^{2}$ is $x^{2}$ reflected with respect to the x-axis.

2. multiply by 5:

$-5x^{2}$ is $-x^{2}$ shrinked towards the y axis.

for example, consider x=1/2

$-5x^{2}=-5( \frac{1}{2} )^{2}=-5* \frac{1}{4}= \frac{-5}{4}=-1.25$

$-x^{2}=- ( \frac{1}{2} )^{2}=- \frac{1}{4}=-0.25$

now this means that $-5x^{2}$ is "lower" than $-x^{2}$ , which means there is a shrinking of the graph.

3. add 5:

$-5 x^{2} +5$ is $-5 x^{2}$ shifted 5 units up.

4.

so the graph of the function a) opens down, b) is shifted 5 units up, c) is not wider than the parent function

Answer: False

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4 years ago

PLEASE HELP GIVING 15 FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWER!!!

baherus [9]

Answer:

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Step-by-step explanation:

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3 years ago

Find values of x, HJ, and JK.

xz_007 [3.2K]

Answer:

x = 2, HJ = JK = 11

Step-by-step explanation:

Given that H is the midpoint of JK , then

HJ = JK = 6x - 1 and

HJ + JK = JK , that is

6x - 1 + 6x - 1 = 3x + 16 ← simplify left side

12x - 2 = 3x + 16 ( subtract 3x from both sides )

9x - 2 = 16 ( add 2 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Then

HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11

5 0

3 years ago