| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If side x = 5cm, side y = 15cm, and side z = 13cm what is the perimeter of this triangle?
| 40cm | |
| 19cm | |
| 33cm | |
| 34cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 15cm + 13cm = 33cm
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope-intercept equation for this line?
| y = x + 2 | |
| y = -1\(\frac{1}{2}\)x + 2 | |
| y = -2\(\frac{1}{2}\)x - 2 | |
| y = -1\(\frac{1}{2}\)x - 3 |
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 -3. 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, 0) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 3
If BD = 26 and AD = 29, AB = ?
| 20 | |
| 3 | |
| 17 | |
| 1 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhen two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
vertical, supplementary |
|
acute, obtuse |
|
supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the volume?
| 512π | |
| 288π | |
| 180π | |
| 4π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 4)
v = 4π