| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is 8a - 9a?
| 17 | |
| 72a2 | |
| 72a | |
| -1a |
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.
8a - 9a = -1a
If the area of this square is 4, what is the length of one of the diagonals?
| 8\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{4} \) = 2
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 22 + 22
c2 = 8
c = \( \sqrt{8} \) = \( \sqrt{4 x 2} \) = \( \sqrt{4} \) \( \sqrt{2} \)
c = 2\( \sqrt{2} \)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
right angle |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is 3a8 + 8a8?
| 11a16 | |
| a816 | |
| 11a8 | |
| -5a16 |
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.
3a8 + 8a8 = 11a8
On this circle, line segment CD is the:
radius |
|
circumference |
|
chord |
|
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).