Combine the fractions on the left side:
9/(x + 2) + 2/(x - 2) = 1
9 (x - 2) / ((x + 2) (x - 2)) + 2 (x + 2) / ((x + 2) (x - 2)) = 1
(9x - 18) / ((x + 2) (x - 2)) + (2x + 4) / ((x + 2) (x - 2)) = 1
(9x - 18 + 2x + 4) / ((x + 2) (x - 2)) = 1
(11x - 14) / ((x + 2) (x - 2)) = 1
Recall the difference of squares identity,
a² - b² = (a + b) (a - b)
which lets us simplify the denominator on the left side as
(11x - 14) / (x² - 4) = 1
For any real numbers a and b, if a/b = 1, then a = b. This means
11x - 14 = x² - 4
which we can rearrange as
x² - 11x + 10 = 0
Factorize the left side:
(x - 10) (x - 1) = 0
Then
x - 10 = 0 or x - 1 = 0
x = 10 or x = 1
In order to solve this problem, it is helpful to draw a diagram (see image below). Since slope is “rise over run” you can make an equation of 4/x = .25 . Then by multiplying each side by x, you can get rid of the fraction. Next, you divide both sides by .25 . You will end up with x=16
The proportion would go as follows:
2 C
5 = 145 Its hard to type that but 2 would go over the 5 and an equals sign would be in the middle, then C over 45. To solve then take 145 times 2 and divide it by 5.
Hope this helps.
Dt = 2(0.8)t = 1.6t = 1.6(10) - 1.6(5) = <span>8 m/s</span>
Answer:
A, it is the 3rd line in a set of 8. 1/8 equals .125 Multiply 3X.125 and it equals .375
Step-by-step explanation: