| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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5 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Simplify (8a)(8ab) - (2a2)(5b).
| -54ab2 | |
| 54a2b | |
| 112a2b | |
| 74a2b |
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.
(8a)(8ab) - (2a2)(5b)
(8 x 8)(a x a x b) - (2 x 5)(a2 x b)
(64)(a1+1 x b) - (10)(a2b)
64a2b - 10a2b
54a2b
On this circle, line segment AB is the:
chord |
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circumference |
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radius |
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diameter |
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).
What is 4a - 8a?
| -4a2 | |
| -4 | |
| -4a | |
| 32a |
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.
4a - 8a = -4a
If side a = 4, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{113} \) | |
| \( \sqrt{18} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 92
c2 = 16 + 81
c2 = 97
c = \( \sqrt{97} \)