13 Scarlet and Gunner are trying to determine which of them traveled at a greater speed when coming
back from their vacation.
Gunner's traveling time is displayed by this graph.
y
400
300
(5, 275)
Distance (miles)
200
100
(1, 55)
Х
2 4 6
Time (hours)
Scarlet maintained a constant speed throughout
her 7-hour journey. Her speed can be modeled
by 455 = mx, where x is the time in hours, and m
is the rate at which Scarlet traveled.
Based upon these two models, which person
traveled at a greater speed? Explain your
reasoning by using a written description each
scenario. Be sure to include the unit rates in your
explanation

Its equal to d=7.07in

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

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!

The answer is -pie over 2