| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 8a8 - 4a8?
| 32a8 | |
| a816 | |
| 4a8 | |
| 4 |
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.
8a8 - 4a8 = 4a8
Factor y2 + y - 2
| (y + 1)(y - 2) | |
| (y - 1)(y - 2) | |
| (y + 1)(y + 2) | |
| (y - 1)(y + 2) |
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 -2 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -1 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 2
y2 + (-1 + 2)y + (-1 x 2)
(y - 1)(y + 2)
If a = 1, b = 7, c = 9, and d = 4, what is the perimeter of this quadrilateral?
| 21 | |
| 26 | |
| 22 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 7 + 9 + 4
p = 21
On this circle, line segment CD is the:
chord |
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diameter |
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circumference |
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radius |
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).