| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
The dimensions of this trapezoid are a = 4, b = 4, c = 5, d = 4, and h = 2. What is the area?
| 10 | |
| 19\(\frac{1}{2}\) | |
| 15 | |
| 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(4 + 4)(2)
a = ½(8)(2)
a = ½(16) = \( \frac{16}{2} \)
a = 8
The endpoints of this line segment are at (-2, -7) and (2, -1). What is the slope-intercept equation for this line?
| y = -3x - 3 | |
| y = -3x - 1 | |
| y = -3x + 0 | |
| y = 1\(\frac{1}{2}\)x - 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
What is 8a + 8a?
| 64a2 | |
| 16a | |
| 2 | |
| 16a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 8a = 16a
Simplify (y + 4)(y - 7)
| y2 + 3y - 28 | |
| y2 - 11y + 28 | |
| y2 + 11y + 28 | |
| y2 - 3y - 28 |
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 + 4)(y - 7)
(y x y) + (y x -7) + (4 x y) + (4 x -7)
y2 - 7y + 4y - 28
y2 - 3y - 28
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
trapezoid |
|
triangle |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.