x = 4
First you combine like terms:
8 + 4x = 24
Then solve:
4x = 24 - 8
4x = 16
x = 16/4
x = 4
Answer:
$89.7
Step-by-step explanation:
First, find the 40% of 149.5, which is 59.8. Then, subtract the percentage (59.8) from 149.5 which equals 89.7.
So it is $89.7 dollars when it is 40% off.
HOPE THIS HELPS!!!!
BEST OF LUCK!!!
Answer:
(1,3)
Step-by-step explanation:
Let x represent the length of the shorter leg.
Longer leg: 5x +19
Hypotenuse: 5x +20
Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive
The side length of the triangle are 13, 84, 85 feet.
Notice how the top is an addition of two cubes, namely x and 2.
You can rewrite the equation as:
Now, (a + b)³ can be simplified down to (a + b)(a² - ab + b²)
Following the same pattern, we get: