| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
On this circle, line segment AB is the:
chord |
|
circumference |
|
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).
If c = 1 and y = 9, what is the value of -3c(c - y)?
| -45 | |
| 48 | |
| 24 | |
| -240 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-3c(c - y)
-3(1)(1 - 9)
-3(1)(-8)
(-3)(-8)
24
Solve for b:
b2 - 10b + 58 = 5b + 4
| 3 or -5 | |
| -1 or -7 | |
| 9 or -5 | |
| 6 or 9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 10b + 58 = 5b + 4
b2 - 10b + 58 - 4 = 5b
b2 - 10b - 5b + 54 = 0
b2 - 15b + 54 = 0
Next, factor the quadratic equation:
b2 - 15b + 54 = 0
(b - 6)(b - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 6) or (b - 9) must equal zero:
If (b - 6) = 0, b must equal 6
If (b - 9) = 0, b must equal 9
So the solution is that b = 6 or 9
What is the circumference of a circle with a radius of 17?
| 24π | |
| 32π | |
| 10π | |
| 34π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 17)
c = 34π
What is 2a4 + 3a4?
| 6a8 | |
| a48 | |
| -a8 | |
| 5a4 |
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.
2a4 + 3a4 = 5a4