| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
If a = c = 9, b = d = 8, what is the area of this rectangle?
| 15 | |
| 32 | |
| 30 | |
| 72 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 8
a = 72
On this circle, a line segment connecting point A to point D is called:
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).
Solve for b:
b2 - 51 = 3b + 3
| 7 or -5 | |
| 3 or 1 | |
| -6 or 9 | |
| 6 or 4 |
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 - 51 = 3b + 3
b2 - 51 - 3 = 3b
b2 - 3b - 54 = 0
b2 - 3b - 54 = 0
Next, factor the quadratic equation:
b2 - 3b - 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
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
vertical, supplementary |
|
obtuse, acute |
|
acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
What is 3a - 5a?
| 15a | |
| -2a2 | |
| a2 | |
| -2a |
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.
3a - 5a = -2a