x^2 + 10x = - 5
To complete the square, we need to add a constant on the
left side that makes the expression on the right a perfect square trinomial. We
need to add the same value on the right side to keep the equation equal. So,
x^2 + 10x + a = -5 + a
where a is the square of one-half the coefficient of x, therefore:
a = (10 / 2)^2 = 25
x^2 + 10x + 25 = -5 + 25
(x + 5)^2 = 20
Taking the square root of both sides:
x + 5 = ± 4.47
x = -5 ± 4.47
<span>x = -9.47, -0.53</span>
So first you need to expand 9(k-2/3) where you would multiple 9 by everything inside the brackets. 9 x k = 9k and 9 x -2/3 = -6 so it'd become
0=9k-6+33 then add together 6 and 33
0=9k+39 then moves k to the other side
-9k=39 and then divide both sides by -9
k= -39/9 which you could simplify to -13/3
k=-13/3
4(2x - 1) + 3(2x + 5)
8x - 4 + 6x + 15
14x + 11 (the answer).
3, 1, -1, -3, -15 (the 10th term)
Let me know if you need working on this part :)
Given:
speed = 32km/h
time = 2 1/2 hours or 2.5 hrs
speed = distance / time
32km/h = distance / 2.5 hrs
32km/h * 2.5hr = distance
80 km = distance.
She traveled 80 kilometers.