Two trains leave stations 520 miles apart at the same time and travel toward each other. one train travels at 105 miles per hour while the other travels at 95 miles per hour. how long will it take for the two trains to meet?
do not do any rounding.

Step-by-step explanation:

Form a d=rt table to show the known distances, rates, and times. The distance was determined by multiplying rate and time.

x is the time it takes for the 2 trains to meet

Train 1: r (105 mph) × t (x) = d (105x)

Train 2: r (95 mph) × t (x) = d (95x)

Now add the distances together and solve for them to equal 520.

105x+95x=520

Combine like terms.

200x=520

x= 13/5 hours = 2.6 hours = 2 hours & 36 minutes

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)