Step-by-step explanation:
By binomial theorem,
T(r+1) = nCr * a^(r+1) * b^r
Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.
Answer:
Step-by-step explanation:
605/11 = x/5
11x = 3025
x = 275 miles
To be a parallogram the 2 angles shown need to equal 180 degrees
so we have: 34 + (4x-2) = 180
now we can solve for x
34 + 4x -2 = 180
simplify the left side by subtracting 2 from 34
32+4x =180
subtract 32 from each side:
4x = 148
divide both sides by 4 to get x
x = 148 / 4
x = 37
The answer is B
Step-by-step explanation:
We have the original equation n ^ 2 + 5 * n - 24, when factoring we have:
(n + 8) * (n - 3)
Now by replacing the values:
n = 0
0 ^ 2 + 5 * 0 - 24 = - 24
(0 + 8) * (0 - 3) = - 24
n = 1
1 ^ 2 + 1 * 0 - 24 = - 18
(1 + 8) * (1 - 3) = -18
n = 2
2 ^ 2 + 5 * 2 - 24 = - 10
(2 + 8) * (2 - 3) = - 10
n = 3
3 ^ 2 + 5 * 3 - 24 = 0
(3 + 8) * (3 - 3) = 0
n = 4
4 ^ 2 + 5 * 4 - 24 = 12
(4 + 8) * (4 - 3) = 12