Atriangle has vertices at (1, 1), (1, 4), and (-3, 4).
what are the coordinates of the circumcenter?

a. (-1, 2.5)
b (-1/3, 3)
c (0, 3)
d (1, 4)

option A (-1, 2.5) is correct

Step-by-step explanation:

Given

Let A(1, 1)

Let B(1, 4)

Let C(-3, 4)

Let coordinates of the circumcenter is (x, y)

Using distance formula

put the y value in this equation

So the coordinates of the circumcenter is (1, 2.5)

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: