Four different sets of objects contain 4, 5, 6, and 8 objects, respectively. how
many unique combinations can be formed by picking one object from each
set?

960

Step-by-step explanation:

We can find the number of unique combinations by

Multiplying 4*5*6*8

960

There are 960 possible choices  by picking 1 from each group

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.