| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
If a = 5, b = 3, c = 8, and d = 1, what is the perimeter of this quadrilateral?
| 22 | |
| 12 | |
| 14 | |
| 17 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 3 + 8 + 1
p = 17
The endpoints of this line segment are at (-2, 1) and (2, -1). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| -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, 1) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)If the base of this triangle is 8 and the height is 1, what is the area?
| 4 | |
| 75 | |
| 77 | |
| 20 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 1 = \( \frac{8}{2} \) = 4
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
c - a |
|
c2 + a2 |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Which of the following statements about math operations is incorrect?
all of these statements are correct |
|
you can subtract monomials that have the same variable and the same exponent |
|
you can multiply monomials that have different variables and different exponents |
|
you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.