If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 78, find the numbers

52 and 26

Step-by-step explanation:

2x=y

x+y=78

3x=78

x=26

2(26)=y

y=52

To check:

52+26=78

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)

answer: x=3 and y=4

step-by-step explanation: