Sam has 8 paintings to display in his gallery. he can place 4 of them in the front window. in how many ways can he arrange 4 paintings in the front window? 4880 3600 1680 5400

It's a question of Permutation;  = nPr = n!/(n-r)!

A.T.Q,

n=8, r=4

8!/(8-4)! =8!/4! = 8*7*6*5

=1680

OPTION C IS YOUR ANSWER.

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.