| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
On this circle, line segment AB is the:
chord |
|
radius |
|
circumference |
|
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).
Simplify (6a)(3ab) - (7a2)(9b).
| -45a2b | |
| 81ab2 | |
| 45ab2 | |
| 144a2b |
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.
(6a)(3ab) - (7a2)(9b)
(6 x 3)(a x a x b) - (7 x 9)(a2 x b)
(18)(a1+1 x b) - (63)(a2b)
18a2b - 63a2b
-45a2b
What is the circumference of a circle with a radius of 14?
| 8π | |
| 28π | |
| 36π | |
| 22π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π
Solve for b:
-6b + 7 > 9 - b
| b > 1\(\frac{1}{2}\) | |
| b > -\(\frac{2}{5}\) | |
| b > 7 | |
| b > -8 |
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 + 7 > 9 - b
-6b > 9 - b - 7
-6b + b > 9 - 7
-5b > 2
b > \( \frac{2}{-5} \)
b > -\(\frac{2}{5}\)
Find the value of b:
-4b + y = 2
3b - 6y = 4
| -1\(\frac{15}{23}\) | |
| 1\(\frac{3}{5}\) | |
| -\(\frac{16}{21}\) | |
| -2\(\frac{1}{7}\) |
You need to find the value of b so solve the first equation in terms of y:
-4b + y = 2
y = 2 + 4b
then substitute the result (2 - -4b) into the second equation:
3b - 6(2 + 4b) = 4
3b + (-6 x 2) + (-6 x 4b) = 4
3b - 12 - 24b = 4
3b - 24b = 4 + 12
-21b = 16
b = \( \frac{16}{-21} \)
b = -\(\frac{16}{21}\)