| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
If a = c = 5, b = d = 9, what is the area of this rectangle?
| 15 | |
| 21 | |
| 3 | |
| 45 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 9
a = 45
The endpoints of this line segment are at (-2, -5) and (2, 7). What is the slope-intercept equation for this line?
| y = -2x + 2 | |
| y = 3x + 1 | |
| y = -\(\frac{1}{2}\)x + 2 | |
| y = 1\(\frac{1}{2}\)x + 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 1
What is the area of a circle with a radius of 3?
| 5π | |
| 36π | |
| 9π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
On this circle, a line segment connecting point A to point D is called:
diameter |
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radius |
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circumference |
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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 triangle is not true?
sum of interior angles = 180° |
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area = ½bh |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.