| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
On this circle, line segment CD is the:
circumference |
|
chord |
|
radius |
|
diameter |
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, -1) and (2, -5). What is the slope of this line?
| -2 | |
| -1 | |
| 1\(\frac{1}{2}\) | |
| 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, -1) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)If side x = 15cm, side y = 13cm, and side z = 8cm what is the perimeter of this triangle?
| 36cm | |
| 31cm | |
| 34cm | |
| 38cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 13cm + 8cm = 36cm
Simplify (y - 2)(y - 1)
| y2 - y - 2 | |
| y2 + 3y + 2 | |
| y2 + y - 2 | |
| y2 - 3y + 2 |
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 - 2)(y - 1)
(y x y) + (y x -1) + (-2 x y) + (-2 x -1)
y2 - y - 2y + 2
y2 - 3y + 2
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.