| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.62 |
| Score | 0% | 52% |
The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope-intercept equation for this line?
| y = 2x - 3 | |
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = -3x + 4 | |
| 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 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
What is the area of a circle with a radius of 3?
| 16π | |
| 9π | |
| 8π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
Solve for b:
-2b - 9 > \( \frac{b}{-3} \)
| b > -1\(\frac{1}{2}\) | |
| b > -\(\frac{24}{43}\) | |
| b > -5\(\frac{2}{5}\) | |
| b > 1\(\frac{8}{55}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-2b - 9 > \( \frac{b}{-3} \)
-3 x (-2b - 9) > b
(-3 x -2b) + (-3 x -9) > b
6b + 27 > b
6b + 27 - b > 0
6b - b > -27
5b > -27
b > \( \frac{-27}{5} \)
b > -5\(\frac{2}{5}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
triangle |
|
quadrilateral |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for x:
-5x + 5 < 9 + 4x
| x < -\(\frac{7}{8}\) | |
| x < -\(\frac{4}{9}\) | |
| x < \(\frac{4}{7}\) | |
| x < \(\frac{5}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-5x + 5 < 9 + 4x
-5x < 9 + 4x - 5
-5x - 4x < 9 - 5
-9x < 4
x < \( \frac{4}{-9} \)
x < -\(\frac{4}{9}\)