| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Simplify (2a)(2ab) - (5a2)(4b).
| 36ab2 | |
| 16ab2 | |
| 36a2b | |
| -16a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(2a)(2ab) - (5a2)(4b)
(2 x 2)(a x a x b) - (5 x 4)(a2 x b)
(4)(a1+1 x b) - (20)(a2b)
4a2b - 20a2b
-16a2b
A right angle measures:
360° |
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180° |
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90° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify (9a)(7ab) + (6a2)(3b).
| -45ab2 | |
| 144a2b | |
| 45a2b | |
| 81a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(7ab) + (6a2)(3b)
(9 x 7)(a x a x b) + (6 x 3)(a2 x b)
(63)(a1+1 x b) + (18)(a2b)
63a2b + 18a2b
81a2b
Solve for x:
x2 + 8x + 15 = 0
| 6 or 5 | |
| -3 or -5 | |
| 6 or -5 | |
| 6 or 3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 8x + 15 = 0
(x + 3)(x + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x + 5) must equal zero:
If (x + 3) = 0, x must equal -3
If (x + 5) = 0, x must equal -5
So the solution is that x = -3 or -5
On this circle, line segment CD is the:
circumference |
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radius |
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diameter |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).