What is the area of the object above? A.
158 sq cm
B.
94 sq cm
C.
142 sq cm
D.
102 sq cm

102cm2

Step-by-step explanation:

Split the shape into two rectangles:

A. 4 x 8 = 32cm2

B. 7 x 10 = 70cm2

70 + 32 = 102cm2

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)