Answer:
x = -8
y = -10
Step-by-step explanation:
Elimination
2x - 3y = 14
5x - 3y = -10
__________--
-3x = 24
x = 24/-3
x = -8
Subsitution
2x - 3y = 14
2(-8) - 3y = 14
-16 - 3y = 14
-3y = 14 + 16
-3y = 30
y = 30/-3
y = -10
We need to find the scale factor, which is given as
then, this means that 1 millimeter : 5 meters
Answer:
7/1 - 7/1 + 17/1 = 17
Step-by-step explanation:
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:
a) 1/3
b) 7/9
Step-by-step explanation:
A) there are 18 total, 6/18 is 1/3
B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9
