Juan roller skated for 2 hours 40 minutes with a constant speed of 18 m/h and then for another 1 hour 50 minutes with a constant speed of 24 m/h. What distance did he go?

136 m

Step-by-step explanation:

For first interval,

Time = 2 hours 40 minutes  =

Speed = 18 m/h

Distance = [Formula : Distance=Speed x time]

For second interval,

Time = 1 hour 50 minutes  =

Speed = 24 m/h

Distance =

Total distance = 48 m +88 m = 136 m

Hence, he went 136 m.

-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