Area of a triangle = 1/2 x base x height
Area = 1/2 x 8.7 x 8.6
Area = 37.41 square feet
<span>Simplifying
6(x + -1) = 9(x + 2)
Reorder the terms:
6(-1 + x) = 9(x + 2)
(-1 * 6 + x * 6) = 9(x + 2)
(-6 + 6x) = 9(x + 2)
Reorder the terms:
-6 + 6x = 9(2 + x)
-6 + 6x = (2 * 9 + x * 9)
-6 + 6x = (18 + 9x)
Solving
-6 + 6x = 18 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-6 + 6x + -9x = 18 + 9x + -9x
Combine like terms: 6x + -9x = -3x
-6 + -3x = 18 + 9x + -9x
Combine like terms: 9x + -9x = 0
-6 + -3x = 18 + 0
-6 + -3x = 18
Add '6' to each side of the equation.
-6 + 6 + -3x = 18 + 6
Combine like terms: -6 + 6 = 0
0 + -3x = 18 + 6
-3x = 18 + 6
Combine like terms: 18 + 6 = 24
-3x = 24
Divide each side by '-3'.
x = -8
Simplifying
x = -8</span>
Answer:
Step-by-step explanation:
So we have the inequality:
Definition of Absolute Value:
Note that the sign is flipped in the second case because we multiplied by a negative.
Add 5 to both sides to both equations:
Merge:
And we're done!
Let x = Wally's age now
Then, 3x = Jose's age now
Wally's age 5 years from now = x+5
Jose's age 5 years from now = 3x+5
(x+5) + (3x+5) = 42
4x + 10 = 42
4x = 32 x = 8
Wally is 8 years old and Jose is 24.
