Lance Liu
2022-10-19
Answered

I want to know are the graphs 2y=4x−16 and y=2x−8 perpendicular

You can still ask an expert for help

HadoHaurrysap3w

Answered 2022-10-20
Author has **10** answers

2y=4x−16 and y=2x−8

Write the first one in the form y=mx+c as well. (÷2)

y=2x−8 and y=2x−8

We see that there is actually only one line.

If there were 2 lines, they would have been parallel because the gradients are the same.

y=2x+5 and y=2x−8 are parallel

$y={-\frac{1}{2}}x-8\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}y={2}x-8$ are perpendicular.

${-\frac{1}{2}\times \frac{2}{1}}=-1$

Write the first one in the form y=mx+c as well. (÷2)

y=2x−8 and y=2x−8

We see that there is actually only one line.

If there were 2 lines, they would have been parallel because the gradients are the same.

y=2x+5 and y=2x−8 are parallel

$y={-\frac{1}{2}}x-8\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}y={2}x-8$ are perpendicular.

${-\frac{1}{2}\times \frac{2}{1}}=-1$

asked 2021-06-01

Find the linear approximation of the function

Use L(x) to approximate the numbers

asked 2022-10-25

Write an equation of a line through (-3,1) and perpendicular to y= -3x+7

asked 2022-09-10

Find the slope perpendicular to $y=\frac{2}{3}x-12$

asked 2022-09-23

A machinist creates a washer by drilling a hole through the center of a circular piece of metal. If the piece of metal has a radius of x + 10 and the hole has a radius of x + 6, what is the area of the washer?

asked 2022-09-22

An online movie streaming plan charges an annual fee of $45 plus $2.50 per movie watched. Another plan has no annual fee but charges $3.75 per movie watched. For how many movies is the cost of the plans the same?

asked 2021-02-08

Solve (1,2)

asked 2022-02-22

Transform each equation into standard form:

$a.y=2x\u20138$

$b.y=-\frac{4}{7}x+2$

$c.y-2=-5(x+1)$

$d.y+4=\frac{2}{5}(x+3)$