Emilie draws a circle with a diameter of 10 inches. ethan draws a circle with a diameter that is half as long as the diameter of emilie's circle. how will the circumference of ethan's circle compare with the circumference of emilie's circle? explain.

The circumference of Ethan's circle is half the circumference of Emilie's circle

Step-by-step explanation:

we know that

Emilie's circle

The circumference is equal to

Ethan's circle

The circumference is equal to

therefore

The circumference of Ethan's circle is half the circumference of Emilie's circle

f(x) = y

f(-3) = -5

step-by-step explanation:

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)