| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The dimensions of this trapezoid are a = 5, b = 3, c = 8, d = 9, and h = 4. What is the area?
| 25 | |
| 12 | |
| 16\(\frac{1}{2}\) | |
| 24 |
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(3 + 9)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24
If the base of this triangle is 6 and the height is 5, what is the area?
| 91 | |
| 15 | |
| 56 | |
| 27\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 5 = \( \frac{30}{2} \) = 15
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The endpoints of this line segment are at (-2, 7) and (2, 1). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 4 | |
| y = 3x - 3 | |
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = 2x - 4 |
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 4. 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, 7) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x + 4
A coordinate grid is composed of which of the following?
origin |
|
y-axis |
|
x-axis |
|
all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.