3. Height of a Balloon
3.5
3
Height (1000 ft)
0.5
10
20 30 40 50 60
Time (sec)
A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
The balloon starts at a height of 0.05 ft and rises at a rate of 150 ft.
The balloon starts at a height of 500 ft and rises at a rate of 150 ft.
The balloon starts at a helght of 500 ft and rises at a rate of 300 ft.

1. 8 or -82. 14 or -143. -11, -3, 0, 7, 10

21/2 or 5/2

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12