| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Solve for c:
c2 - 5c + 6 = 0
| 2 or 3 | |
| -5 or -7 | |
| 1 or -9 | |
| 1 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 5c + 6 = 0
(c - 2)(c - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c - 3) must equal zero:
If (c - 2) = 0, c must equal 2
If (c - 3) = 0, c must equal 3
So the solution is that c = 2 or 3
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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2(π r2) + 2π rh |
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4π r2 |
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π r2h2 |
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.
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, right, obtuse |
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right, obtuse, acute |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If a = 4, b = 2, c = 2, and d = 9, what is the perimeter of this quadrilateral?
| 21 | |
| 13 | |
| 17 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 2 + 2 + 9
p = 17
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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the lengths of all sides are equal |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).