| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
On this circle, a line segment connecting point A to point D is called:
circumference |
|
diameter |
|
chord |
|
radius |
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).
What is 3a2 + 3a2?
| 6a2 | |
| 6a4 | |
| 9a2 | |
| 0 |
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.
3a2 + 3a2 = 6a2
Solve for x:
x2 + 16x + 64 = 0
| 8 or 3 | |
| 3 or -7 | |
| -8 | |
| 9 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 16x + 64 = 0
(x + 8)(x + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (x + 8) must equal zero:
If (x + 8) = 0, x must equal -8
So the solution is that x = -8
Simplify (y + 1)(y + 7)
| y2 + 8y + 7 | |
| y2 - 6y - 7 | |
| y2 - 8y + 7 | |
| y2 + 6y - 7 |
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 + 1)(y + 7)
(y x y) + (y x 7) + (1 x y) + (1 x 7)
y2 + 7y + y + 7
y2 + 8y + 7
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| -1 | |
| 1 |
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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)