The perimeter of a triangle with two equal sides is 46 cm. if its base were lengthened by 4 cm and each leg were shortened by 7 cm, all three sides would be equal. find the length of the base of the original triangle.

4cm

Step-by-step explanation:

a+b+c=46 (b=c   two equal sides)

a+2b=46

a+4=b-7

b=a+11

a+2a+22=46

3a=24

a=8 (length  of base after lengthened)

b=19

b=19

8-4=4  (length of base of original triangle)

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17