Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. Her job is to analyze which three to buy. How many combinations will she have to analyze? A) 15 B) 20 C) 10 D) 5

The number of combinations will she have to analyze is  10.

Step-by-step explanation:

We know that Boeing currently produces five models of airplanes for commercial sale.  The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes.  We calculate the number of combinations will she have to analyze.

The number of combinations will she have to analyze is  10.

addition

step-by-step explanation:

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.