Investors buy a studio apartment for $180,000. Of this​ amount, they have a down payment of 45,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$63,000 down payment​ be?

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

1.30

step-by-step explanation:

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.