Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mrs. Hanson, the P. E. teacher, is pairing off students to race against each other. Britney can run 4 yards per second, and Darnell can run 5 yards per second. Mrs. Hanson decides to give Britney a head start of 31 yards since she runs more slowly. Once the students start running, Darnell will quickly catch up to Britney. How long will that take? How far will Darnell have to run?

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.  

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu