50 !
triangle qrs has been rotated 90° to create triangle tuv. using the image below, prove that perpendicular lines have opposite and reciprocal slopes. you must show all of your work to receive credit.
so much!

Step-by-step explanation:

We have to prove that perpendicular lines have opposite and reciprocal slopes.

One line passes through two points S(-5, 2) and R(-2, 5)

So slope of this line will be

m₁ =

    =

m₁ = 1

Now another line passes through two points U (2, 5) and V (5, 2)

So slope of this line will be

m₂ =

     =

     = -1

Now m₁ × m₂ = 1 × (-1)

                     = (-1)

Therefore, m₁ =

Hence it is proved that perpendicular lines have opposite and reciprocal slopes.

the answe i =−n+5

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)