| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
The endpoints of this line segment are at (-2, 7) and (2, -5). What is the slope-intercept equation for this line?
| y = 3x + 3 | |
| y = -3x + 1 | |
| y = 3x - 1 | |
| 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 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, 7) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 1
Simplify (y - 1)(y + 6)
| y2 + 7y + 6 | |
| y2 - 7y + 6 | |
| y2 + 5y - 6 | |
| y2 - 5y - 6 |
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 - 1)(y + 6)
(y x y) + (y x 6) + (-1 x y) + (-1 x 6)
y2 + 6y - y - 6
y2 + 5y - 6
The dimensions of this cube are height (h) = 9, length (l) = 9, and width (w) = 1. What is the volume?
| 24 | |
| 60 | |
| 81 | |
| 384 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 9 x 1
v = 81
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
origin |
|
x-axis |
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.
On this circle, line segment CD is the:
radius |
|
diameter |
|
circumference |
|
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).