Suppose there is a 1.8 Farenheit drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 62.4 farenheit , what will be the temperature when the plane reaches an altitude of 8,000 ft. ?

Step-by-step explanation:

Let the altitude on the ground be 0 ft

Temperature at 8000 ft is:

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.