What are the coordinates of the circumcenter of this triangle?

ANSWER

The circumcenter is (2,1)

EXPLANATION

The midpoint of BC is (-3,2)

The equation of the perpendicular bisector of BC is x=2

The midpoint of AB is (-1,1)

The midpoint of AB is (-1,1)

The perpendicular bisector of AB is y=1.

These two lines intersect at (2,1).

The point of intersection of the perpendicular bisectors of a triangle is called the circumcenter of the triangle.

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)

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.