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3 years ago

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(02.07 HC)

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Over [174]3 years ago

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Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago

Hilda runs 2/3 of a mile in a half-hour. If she continues to run at a constant rate, how many miles will she run in 3 hours?

Naddika [18.5K]

2/3 a mile in half an hour
3 hours=6 x 2/3
6/1 x 2/3 = 12/3
12/3 =4 miles in 3 hours

5 0

3 years ago

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Lana needs to find the. to find this, she could list. of both numbers, and circle each bumber that appeas in both lists. she sho

strojnjashka [21]

U still need help or nah?

7 0

3 years ago

An equation has solutions of m = –5 and m = 9. Which could be the equation?

patriot [66]

Answer:

m² - 4m - 45 = 0

Step-by-step explanation:

(m + 5)(m - 9) = 0

m² + 5m - 9m - 45 = 0

m² - 4m - 45 = 0

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3 years ago

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Which of the following is something that will not affect your homeowners insurance premium?

nydimaria [60]

Answer:

Step-by-step explanation: c

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3 years ago

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