Andy wants to rent a limousine to go to the prom, but he cannot afford it by himself. (He also doesn't want to go to the prom alone!) He decides to invite some
friends to share the cost of the rental. The limo costs $400 to rent, and each person
who rides requires a $10 insurance fee (in case someone spills an orange Fanta in the
car).

write a function c(x) that models the total cost of the rental in terms of x, the number of people going to the prom.

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.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

show da graph

step-by-step explanation: