For what values of the variable does the following expression make sense:
square root of 8c

Step-by-step explanation:

Given:

The given expression is:

A square root function always gives a result greater than or equal to 0.

For a square root function, the terms inside the square root must be greater than or equal to 0. Therefore,

Dividing both sides by 8 to isolate 'c', we get:

Therefore, the values of 'c' must be greater than or equal to 0 for the given square root function to exist. If the values of 'c' less than 0, then the square root function is undefined and doesn't give real values as result.

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)