Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.30 |
Score | 0% | 66% |
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π r |
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a = π d2 |
|
a = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
What is 3a9 - 3a9?
0a9 | |
0 | |
9a18 | |
9a9 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a9 - 3a9 = 0a9
Solve for b:
b2 - 6b + 5 = 0
2 or -1 | |
1 or 5 | |
1 or -1 | |
1 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 6b + 5 = 0
(b - 1)(b - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 5) must equal zero:
If (b - 1) = 0, b must equal 1
If (b - 5) = 0, b must equal 5
So the solution is that b = 1 or 5
Factor y2 - 10y + 9
(y - 9)(y - 1) | |
(y - 9)(y + 1) | |
(y + 9)(y + 1) | |
(y + 9)(y - 1) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -9 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 10y + 9
y2 + (-9 - 1)y + (-9 x -1)
(y - 9)(y - 1)
Simplify (y - 3)(y + 2)
y2 - y - 6 | |
y2 + y - 6 | |
y2 - 5y + 6 | |
y2 + 5y + 6 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 3)(y + 2)
(y x y) + (y x 2) + (-3 x y) + (-3 x 2)
y2 + 2y - 3y - 6
y2 - y - 6