Two triangles are similar. the height of the smaller triangle is 6 inches and the corresponding height of the larger triangle is 15 inches. if the perimeter of the smaller triangle is 37.8 inches, what is the perimeter of the larger triangle?

Two triangles are similar. The perimeter of the larger triangle is 94.5 inches

SOLUTION:

Given, Two triangles are similar.  

The height of the smaller triangle is 6 inches and the corresponding height of the larger triangle is 15 inches.  

The perimeter of the smaller triangle is 37.8 inches,  

We have to find what is the perimeter of the larger triangle?

We know that, for similar triangles, ratio of heights = ratio of perimeters

Hence, the perimeter of the larger triangle is 94.5 inches

Graph is attached

Step-by-step explanation:

we are given characteristics of function

Increasing interval:

-8<x<-4  and -1<x<5

so, curve goes up in these interval

Decreasing interval:

-4<x<-1

so, curve goes downward on this interval

So, there will be local maxima at x=-4

and there will be local minima at x=-1

f(-8)=-5

and zeros are

x=-6, x=-2 and x=3

Absolute maximum value is 7

Absolute minimum value is -5

now, we can draw graph