Answer:
a² = b² -w² +2wx
Step-by-step explanation:
The algebra is pretty straightforward. Expand the expression in parentheses and add x².
b² -(w -x)² = e² = a² -x²
b² -(w² -2wx +x²) = a² -x² . . . . . expand the square
b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign
b² -w² +2wx = a² . . . . . . . . . . . . add x²
Answer:
112
Step-by-step explanation:
The volume is given by l*b*h=4*4*7=112
Answer:
$ 254.85
Step-by-step explanation:
Total amount invested = $ 560
Interest rate = r = 4.8% = 0.048
Time in years = t = 8 years
The formula for compound interest is:

Here,
A is the total amount accumulated after t years. P is the amount invested initially and n is the compounding periods per year. Since in this case compounding is done annually, n will be 1. Using the values in the above formula, we get:

Thus, the total amount accumulated after 8 years will be $ 814.85
The amount of interest earned will be:
Interest = Amount Accumulated - Principal Amount
Interest = $ 814.85 - $ 560 = $ 254.85
By the end of 8 years, $ 254.85 would be earned in interest.
X² + 5x - 14 = 0
(x-2)(x+7) = 0
x - 2 = 0
x + 7 = 0
x = 2
x = -7
Your answer is B.
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Next question.
2x² - 4x - 6 = 0
a = 2
b = -4
c = -6
And is D.
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Next question
If the discriminant is positive, then there will be 2 solutions.
Your answer is C.
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Next question
Plugging in the equation into the quadratic formula should get you answer choice A.