| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
On this circle, a line segment connecting point A to point D is called:
diameter |
|
circumference |
|
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).
If a = c = 8, b = d = 5, and the blue angle = 52°, what is the area of this parallelogram?
| 40 | |
| 6 | |
| 35 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 5
a = 40
Simplify 5a x 7b.
| 35\( \frac{b}{a} \) | |
| 35a2b2 | |
| 12ab | |
| 35ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 7b = (5 x 7) (a x b) = 35ab
What is 2a7 - 6a7?
| 12a7 | |
| -4a7 | |
| 12a14 | |
| a714 |
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.
2a7 - 6a7 = -4a7
Solve for b:
-6b - 3 > \( \frac{b}{-3} \)
| b > \(\frac{20}{31}\) | |
| b > -4\(\frac{1}{2}\) | |
| b > -10\(\frac{2}{7}\) | |
| b > -\(\frac{9}{17}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-6b - 3 > \( \frac{b}{-3} \)
-3 x (-6b - 3) > b
(-3 x -6b) + (-3 x -3) > b
18b + 9 > b
18b + 9 - b > 0
18b - b > -9
17b > -9
b > \( \frac{-9}{17} \)
b > -\(\frac{9}{17}\)