| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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expression |
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formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Solve for z:
z2 - 14z + 45 = 0
| 3 or -3 | |
| 5 or 9 | |
| 8 or -1 | |
| -6 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 14z + 45 = 0
(z - 5)(z - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 9) must equal zero:
If (z - 5) = 0, z must equal 5
If (z - 9) = 0, z must equal 9
So the solution is that z = 5 or 9
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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acute, right, obtuse |
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right, obtuse, acute |
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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°.
If side a = 5, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{89} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 82
c2 = 25 + 64
c2 = 89
c = \( \sqrt{89} \)
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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4π r2 |
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π r2h |
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2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.