Three fire observation towers are located at points A(-6, -14), B(14, 10), and C(-3, 13), on a map where all units are in kilometers. A fire is located at distances of 17 km, 15 km, and 13 km, respectively, from the observation towers. Graph three circles whose centers are located at the observation towers and whose radii are the given distances to the fire. Then estimate the location of the fire. Part 1 of 2 Graph the circles. EL DO -32 -28 -24 -20 Part: 1 / 2 -16 -12 X x + -8 --4 32- 28+ 24- 20+ 16- 13 4- TH 4- --8- -12+ -16+ -20+ -24- -28- -32- 8 X 12 m 16 20 ZA 28 2 32 00 B The center is (-5, 2) and the circle is tangent to the x-axis. (Informally, a line is tangent to a circle if it touches the circle in exactly one point.) (a) Write an equation of the circle in standard form. (b) Graph the circle. Part 1 of 2 (a) An equation of the circle in standard form is Part 2 of 2 (b) Graph the circle. 11+ 10- 9- 8- 7- 6- 5- 4- X 0+0 S X > O Write an equation of the circle that is tangent to both axes with radius 3 and center in Quadrant IV. Express your answer in standard form. The equation of the circle is 0=0 X +0 0/0 S Minus