You can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?

4 hours

Step-by-step explanation:

It is given you can ride a bicycle 15 mph. Your sister rides 12 mph. You give her a one hour head start.

Your info:

Speed = 15 mph , let the distance covered be = 'x' miles , time taken to cover the distance,

time = =

Sister's info:

Speed = 12 mph , let the distance covered be = x miles, time taken to cover the distance of 'x' miles,

time =

Equation:  

Sister's time - your time = 1

Multiplying both the sides by 60 we get,

miles

Therefore, your time to catch up:

hours

Therefore, it will take 4 hours to catch up if neither of your stop.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer

step-by-step explanation: