12. (09.04 LC) A circle is represented by the equation below:
(x - 9)2 + (y + 8)2 = 16
Which statement is true? (5 points)
The circle is centered at (-9, 8) and has a radius of 8.
The circle is centered at (9, -8) and has a diameter of 8.
The circle is centered at (9, -8) and has a radius of 8.
The circle is centered at (-9, 8) and has a diameter of 8.

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

she will travel a distance in the range of 3 - 11 miles

answer: the answer is b. i think hope i got it correct

step-by-step explanation: