On a huge site in San-Diego, a whole new street of houses was constructed. To put the numbers on all new buildings the plates with the digits were used. How many of those plates will be used on the left side of the street with odd numbers and how many plates will be used for the right side of the street with even numbers only, if numeration started from #1 up to #99? How many houses on each side of the street?

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.

part a: 1.08

part b: 27.59