B because 2 and 1/3 is 7/3 as an improper fraction times 4 is 28/3 and as a mixed number it is 9 and 1/3
I'd suggest you begin by subtracting 4 / (x-4) from both sides. Doing that would leave you with 1 / (x-4) - 2 / (x+2) = 0.
LCD is (x-4)(x+2). Mult. all three terms by (x-4)(x+2). The resulting equation is
x+2 - 2(x-4) = 0. Then x+2 = 2x - 8 => x = 10
Subst. 10 for x in the original equation to verify that 10 is indeed a solution.
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:
Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:
We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb
Answer:
5
Step-by-step explanation:
the formula of the distance between
the point (p, q) and the line ax + by +c = 0 =>
d = |p.a + q.b +c| / √(a²+b²)
d = |5(-3)+5(-4)+10| / √[(-3)²+(-4)²]
= |(-15-20+10)|/√25
= |-25|/ 5
= 25/5
= 5
Answer:
9/24
Step-by-step explanation:
First, find the LCD: 24.
24/8=3. 3*5=15. So, 2 5/8 becomes 2 15/24.
24/12=2. 2*3=6. So, 2 3/12 becomes 2 6/24.
2 15/24 - 2 6/24 = 9/24.
