| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for x:
x2 + 14x + 36 = 2x + 4
| 1 or -2 | |
| 5 or -6 | |
| -4 or -8 | |
| 2 or 1 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 + 14x + 36 = 2x + 4
x2 + 14x + 36 - 4 = 2x
x2 + 14x - 2x + 32 = 0
x2 + 12x + 32 = 0
Next, factor the quadratic equation:
x2 + 12x + 32 = 0
(x + 4)(x + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 4) or (x + 8) must equal zero:
If (x + 4) = 0, x must equal -4
If (x + 8) = 0, x must equal -8
So the solution is that x = -4 or -8
The dimensions of this cylinder are height (h) = 2 and radius (r) = 9. What is the surface area?
| 84π | |
| 198π | |
| 20π | |
| 112π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 2)
sa = 2π(81) + 2π(18)
sa = (2 x 81)π + (2 x 18)π
sa = 162π + 36π
sa = 198π
On this circle, a line segment connecting point A to point D is called:
diameter |
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circumference |
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radius |
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chord |
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).
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).