This question has two answers and i do not know how to solve this kind of question.

Let's look at what we know.

We know she traveled 24 miles in all (12 running 12 biking), and we also know she spent 2.25 hours to finish the race. And we also know she rides 8 mph than she runs.

x= biking y=riding

x+y=2.25

12/x - 12/y = 8

Solve top equation for y and plug in

y=2.25-x

12/x - 12/(2.25-x) = 8

Get common denominators.

[12(2.25 - x)]/[x(2.25-x)] - [12(x)]/[x(2.25-x)]= [8(x)(2.25-x)]/[x(2.25-x)]

Let's simplify and only work with the top part.

27-24x=18-8x^2

Let's get everything to one side.

8x^2 -24x +9

x equals -x plus or minus the square root b squared minus 4 a c all over 2 a

24 plus or minus \sqrt{288} divided by 16

if you subtract you get a negative number so add 24 to the \sqrt{288} to get roughly 40. Then divide by 16 to get 2.56 mi/hr for running. Add 8 to get mph for biking.

Source of information: Michael J. from www.wyzant.com

yes.. it's proven to be 36.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9