Marie is 13 years older than joanna. the sum of their ages is 55. how old are both of them? needs a let's statement

Marie is 34 and Joanna is 21.

To find this you first subtract 13 from 55. This will give you 42, which you then divide by 2 to find Joanna's age. Finally you simply add 13 to Joanna's age to find Marie's age (34). To check this, add 34 and 21 together, which gives you 55.

I hope this helps!

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.