| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Solve for z:
z2 - 3z - 10 = 0
| 7 or 2 | |
| -2 or 5 | |
| 8 or -8 | |
| 4 or -2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 3z - 10 = 0
(z + 2)(z - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z - 5) must equal zero:
If (z + 2) = 0, z must equal -2
If (z - 5) = 0, z must equal 5
So the solution is that z = -2 or 5
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
A coordinate grid is composed of which of the following?
y-axis |
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origin |
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x-axis |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
On this circle, line segment AB is the:
circumference |
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chord |
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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 the area of a circle with a radius of 3?
| 36π | |
| 9π | |
| 64π | |
| 16π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π