| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
If a = c = 7, b = d = 4, what is the area of this rectangle?
| 63 | |
| 28 | |
| 10 | |
| 15 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 4
a = 28
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
What is 8a + 9a?
| 17 | |
| 17a2 | |
| 17a | |
| 72a |
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 + 9a = 17a
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d |
|
c = π r |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The endpoints of this line segment are at (-2, 2) and (2, -6). What is the slope-intercept equation for this line?
| y = -x + 0 | |
| y = -\(\frac{1}{2}\)x - 4 | |
| y = -2x - 2 | |
| y = x + 0 |
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, 2) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x - 2