| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Solve for z:
z2 - 9 = 0
| 9 or -2 | |
| 3 or -3 | |
| -2 or -3 | |
| 3 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 9 = 0
(z - 3)(z + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 3) must equal zero:
If (z - 3) = 0, z must equal 3
If (z + 3) = 0, z must equal -3
So the solution is that z = 3 or -3
On this circle, a line segment connecting point A to point D is called:
diameter |
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radius |
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chord |
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circumference |
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).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c - a |
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a2 - c2 |
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c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.