Plz worth 50 pts, will mark !

answer the following questions about the problem above. write in complete sentences to get full credit.

1. what is the slope for section "d" of mrs. washington's commute.

2. what does it mean that the slope is negative in context of the problem?

3. why are the slopes different over different intervals?

4. how long does it take mrs. washington to get home? how did you know this?

Step-by-step explanation:

The slope is negative because it moves downward from the left.If it were to move upwards from the left it would be a positive slope.The slope intervals are different because;the factors responsible for slope are not constant during the journey. i.e the time taken and the distance covered for each part of the journey are differentThe speed for each part of the journey is different.

For a : Speed = distance / time

Distance covered = y2 - y1 = 20 - 15 = 5

Time taken = x2 - x1 = 8 - 0 = 8

Speed in part a : 5/8 = 0.625

4. It takes her 32 minutes to get home. We can see from the graph that it is the total time taken throughout the whole journey.

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