An airplane travels at 150 miles per hour. the total distance traveled is 637.5 miles. which equation should be solved to determine the number of hours (h) traveled?

The distance (d) traveled by the airplane is the product of multiplying the speed (s) and the trip took (h). The equation is shown below, 
                                           d = s x h
Substitute the known values to the equation, 
                                       637.5 miles = (150 mile/ hour) x h
Manipulating the equation,
                                       h = (637.5 miles) / (150 mile/ hr) 
h is equal to 4.25 hours. 

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