A caterer offers five different appetizers, three different drinks and four different sandwiches. How many combinations of two appetizers, two drinks and two sandwiches can Scott choose for his party

180.

Step-by-step explanation:

Appetizers = 5 types

drinks = 3 types

Sandwiches = 4 types.

Solution:

This is a combination problem.

For appetizers

= 5C2

= 10.

For drinks

= 3C2

= 3.

For sandwiches

= 4C2

= 6.

No. Of combinations scot can choose for his party

= 10*6*3

= 180

Scot can choose a total of 180 combinations for his party.

1010: 3030

is it i think

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.