1. Determine the center of mass of the triangular region with vertices (0,0), (5,0) and (0,2) if the density function is proportional to 7 times the distance from the y-axis. (Evaluate inner integrals by hand and then use your calculator to evaluate the second integral. Round your answers to 2 decimal places.) (18 points)

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)

step-by-step explanation:

333.74 ! should be your answer for this question