How do you find the slope perpendicular to y=6x+5?

The slope of a perpendicular line is the opposite reciprocal

so the slope, 6, will become -1/6

to find the perpendicular equation to another line, you need to find the inverse. (Basically, switch the x and y around and solve for y)

f(x)=6x+5

y=6x+5

x=6y+5

x-5=6y

y=(x-5)/6

f⁻¹(x)=(1/6)x-(5/6) the bolded number is the new, perpendicular slope! ^^

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

just sum

10 + 10 = 20