Answer:
330.60.330.60.330.60.
Step-by-step explanation:
first speed --- x mph
return speed -- x+16 mph
6/x + 6/(x+16) = 1
times each term by x(x+16)
6(x+16) + 6x = x(x+16)
x^2 + 4x - 96 = 0
(x-8)(x+12) = 0
x = 8 or x is a negative
her first speed was 8 mph
her return speed was 24 mph
check:
6/8 + 6/24 = 1 , that's good!
Answer:
complementary angles
Step-by-step explanation:
it's a 90 degree angle added together (notice the square in the corner?) hope this helps!
42 and 14
explanation:
x+y = 56
x = 3y
Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14
So if y = 14, and x = 3y, then x = 42.
Now substitute for both x and y in both of the original equations to prove they are the correct values.
x + y = 56
x = 42
y = 4
42 + 14 = 56
56 = 56
x = 3y
x = 42
y = 14
42 = 3*14
42 = 42
So the two numbers, x and y, are 42 and 14.
