| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
The endpoints of this line segment are at (-2, -2) and (2, 2). What is the slope of this line?
| 1 | |
| 1\(\frac{1}{2}\) | |
| 2 | |
| \(\frac{1}{2}\) |
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, -2) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
triangle |
|
quadrilateral |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
parallel |
|
equal angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
If b = 7 and z = -7, what is the value of 9b(b - z)?
| 882 | |
| -30 | |
| 160 | |
| 45 |
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.)
9b(b - z)
9(7)(7 + 7)
9(7)(14)
(63)(14)
882
Solve for c:
c2 + 10c + 30 = -2c - 2
| -6 or -8 | |
| -4 or -8 | |
| 7 or 2 | |
| 4 or -7 |
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:
c2 + 10c + 30 = -2c - 2
c2 + 10c + 30 + 2 = -2c
c2 + 10c + 2c + 32 = 0
c2 + 12c + 32 = 0
Next, factor the quadratic equation:
c2 + 12c + 32 = 0
(c + 4)(c + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 4) or (c + 8) must equal zero:
If (c + 4) = 0, c must equal -4
If (c + 8) = 0, c must equal -8
So the solution is that c = -4 or -8