| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
|
opposite sides and adjacent angles are equal |
|
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).
The endpoints of this line segment are at (-2, 3) and (2, -7). What is the slope-intercept equation for this line?
| y = -3x - 2 | |
| y = -2\(\frac{1}{2}\)x - 2 | |
| y = x - 4 | |
| y = -\(\frac{1}{2}\)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 -2. 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, 3) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x - 2
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
|
Odd |
|
Last |
|
First |
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.
The dimensions of this cube are height (h) = 5, length (l) = 9, and width (w) = 4. What is the surface area?
| 246 | |
| 202 | |
| 48 | |
| 258 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 4) + (2 x 4 x 5) + (2 x 9 x 5)
sa = (72) + (40) + (90)
sa = 202
A(n) __________ is two expressions separated by an equal sign.
formula |
|
problem |
|
expression |
|
equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.