| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
A right angle measures:
45° |
|
360° |
|
90° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
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, \(c = \sqrt{a + b}\)
The endpoints of this line segment are at (-2, 1) and (2, -1). What is the slope of this line?
| 1 | |
| -\(\frac{1}{2}\) | |
| -1 | |
| -3 |
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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Simplify (5a)(6ab) + (6a2)(2b).
| 88a2b | |
| 42a2b | |
| 18a2b | |
| 42ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(6ab) + (6a2)(2b)
(5 x 6)(a x a x b) + (6 x 2)(a2 x b)
(30)(a1+1 x b) + (12)(a2b)
30a2b + 12a2b
42a2b
If a = 3, b = 9, c = 6, and d = 8, what is the perimeter of this quadrilateral?
| 18 | |
| 26 | |
| 21 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 9 + 6 + 8
p = 26