| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The endpoints of this line segment are at (-2, -1) and (2, 1). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -3 | |
| -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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Simplify (6a)(6ab) + (5a2)(2b).
| 26ab2 | |
| 84ab2 | |
| -26a2b | |
| 46a2b |
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.
(6a)(6ab) + (5a2)(2b)
(6 x 6)(a x a x b) + (5 x 2)(a2 x b)
(36)(a1+1 x b) + (10)(a2b)
36a2b + 10a2b
46a2b
This diagram represents two parallel lines with a transversal. If w° = 13, what is the value of y°?
| 167 | |
| 30 | |
| 159 | |
| 27 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with w° = 13, the value of y° is 167.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
all interior angles are right angles |
|
the perimeter is the sum of the lengths of all four sides |
|
the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
If angle a = 69° and angle b = 25° what is the length of angle c?
| 60° | |
| 86° | |
| 102° | |
| 84° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 69° - 25° = 86°