| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.33 |
| Score | 0% | 47% |
The dimensions of this trapezoid are a = 6, b = 2, c = 8, d = 2, and h = 4. What is the area?
| 18 | |
| 12 | |
| 16 | |
| 8 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 2)(4)
a = ½(4)(4)
a = ½(16) = \( \frac{16}{2} \)
a = 8
Solve 4c - 4c = 6c + z + 4 for c in terms of z.
| \(\frac{2}{5}\)z + \(\frac{4}{5}\) | |
| -2\(\frac{1}{2}\)z - 2 | |
| 4z + 3 | |
| z + 1 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
4c - 4z = 6c + z + 4
4c = 6c + z + 4 + 4z
4c - 6c = z + 4 + 4z
-2c = 5z + 4
c = \( \frac{5z + 4}{-2} \)
c = \( \frac{5z}{-2} \) + \( \frac{4}{-2} \)
c = -2\(\frac{1}{2}\)z - 2
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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midpoints |
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bisects |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Simplify (y + 2)(y - 9)
| y2 + 11y + 18 | |
| y2 + 7y - 18 | |
| y2 - 11y + 18 | |
| y2 - 7y - 18 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y - 9)
(y x y) + (y x -9) + (2 x y) + (2 x -9)
y2 - 9y + 2y - 18
y2 - 7y - 18
The endpoints of this line segment are at (-2, -2) and (2, 2). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 2 | |
| y = -x + 1 | |
| y = x + 0 | |
| y = -2x - 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 0. 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, -2) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 0