-7/3, -3/4, 0.5, 2/3, 1.2
Brainliest please
<span>x^2 + 15x + 56.25 = 105.25
"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.
Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?"
Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25
Now take the square root of each side
(x+7.5) = sqrt(105.25)
And let's use both the positive and negative square roots.
So
x+7.5 = 10.25914226
and
x+7.5 = -10.25914226
And let's find X.
x+7.5 = 10.25914226
x = 2.759142264
x+7.5 = -10.25914226
x = -17.75914226
So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
Answer:
D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.
Step-by-step explanation:
Finance charge is equal to:
daily balance*A*P*R*billing cycle/365
db 0.1204 30/365 = 5.71
db = 577.01 (I am rounding every answer, and keeping the number in my calculator, things won't work out exactly if you calculate using my numbers)Manipulate the formula for mean:
average = total/amount
577.01 = total/30
total over 30 days = 17,310.22Set up an equation with our information:
606.40x + 55.25(30-x) = 17,310.22
551.15x = 16,652.72
x = 28.4
The balance was $606.40 for 28 days, so she paid on the 29th.
