| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
If the base of this triangle is 8 and the height is 6, what is the area?
| 27\(\frac{1}{2}\) | |
| 36 | |
| 31\(\frac{1}{2}\) | |
| 24 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 6 = \( \frac{48}{2} \) = 24
What is 4a2 + 5a2?
| 9a2 | |
| -a4 | |
| 20a4 | |
| 9 |
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.
4a2 + 5a2 = 9a2
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
diameter |
|
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).
The endpoints of this line segment are at (-2, 5) and (2, -5). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x - 1 | |
| y = \(\frac{1}{2}\)x - 3 | |
| y = 2\(\frac{1}{2}\)x - 4 | |
| y = -2\(\frac{1}{2}\)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 0. 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, 5) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 0
If angle a = 48° and angle b = 28° what is the length of angle d?
| 157° | |
| 126° | |
| 138° | |
| 132° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 48° - 28° = 104°
So, d° = 28° + 104° = 132°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 48° = 132°