2. The table shows distance, y, that Mario runs in x minutes. Mario’s Running Speed

Time,

(min) Distance,

(mi)

7 | 1

21 | 3

35 | 5

(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.

(b) What is the rate of change for this linear relationship? Show your work.

(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.

Multiply. −2x(6x4−7x2+x−5) express the answer in standard form. enter your answer in the box.

What is the arc length when θ =pi over 3 and the radius is 5 cm? (5 points) 5 pi over 3 cm 10 pi over 3 cm 16 pi over 3 cm pi over 3 cm

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem