| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
If a = 9, b = 8, c = 1, and d = 2, what is the perimeter of this quadrilateral?
| 31 | |
| 21 | |
| 23 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 8 + 1 + 2
p = 20
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
y-intercept |
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slope |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Which of the following expressions contains exactly two terms?
binomial |
|
polynomial |
|
quadratic |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Factor y2 + 7y - 18
| (y + 2)(y - 9) | |
| (y - 2)(y + 9) | |
| (y - 2)(y - 9) | |
| (y + 2)(y + 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -18 as well and sum (Inside, Outside) to equal 7. For this problem, those two numbers are -2 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 7y - 18
y2 + (-2 + 9)y + (-2 x 9)
(y - 2)(y + 9)
This diagram represents two parallel lines with a transversal. If w° = 20, what is the value of c°?
| 18 | |
| 21 | |
| 156 | |
| 20 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with w° = 20, the value of c° is 20.