18
calculate 
× 48 = 5 × 6 = 30
she had 30 foul shots hence 48 - 30 = 18
She made 18 shots
The Pyth. Thm. tells us the following: (hypo)^2 = (leg 1)^2 + (leg 2)^2.
Here the hypo is 75 miles. One train traveled x miles and the other x+10 miles.
applying the Pyth. Thm.,
x^2 + (x+10)^2 = 75^2
which becomes x^2 + x^2 + 20x + 400 = 5625, or
2x^2 + 20x - 5225 = 0.
Choose a method easy for you that will lead to a solution (x-value).
Using "completing the square," I obtained x= 47.8 miles and x = 57.8 miles. I
It's very important to check one's work. Suppose x = 47.8 miles. Then x+10 = 57.8 miles.
47.8^2 + 57.8^2 = 75^ must be true. Is it?
2284.84 + 3340.84 5625
5625.6 is approx equal to 5625. Close enough.
The first train traveled 47.8 miles and the second 57.8 miles.
Answer:
5
Step-by-step explanation:
Swap sides so that all variable terms are on the left hand side.
9r−11=34
Add 11 to both sides.
9r=34+11
Add 34 and 11 to get 45.
9r=45
Divide both sides by 9.
r= 45/9
Divide 45 by 9 to get 5.
r=5
I believe the answer is 622.5. But I might be wrong. I hope it could help if right! (:
