| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 2 | |
| -3 | |
| 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, -8) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Simplify (9a)(3ab) - (9a2)(7b).
| 90a2b | |
| -36a2b | |
| 90ab2 | |
| 192a2b |
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.
(9a)(3ab) - (9a2)(7b)
(9 x 3)(a x a x b) - (9 x 7)(a2 x b)
(27)(a1+1 x b) - (63)(a2b)
27a2b - 63a2b
-36a2b
If angle a = 58° and angle b = 53° what is the length of angle d?
| 111° | |
| 138° | |
| 122° | |
| 152° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 58° - 53° = 69°
So, d° = 53° + 69° = 122°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 58° = 122°
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
|
equilateral and isosceles |
|
isosceles and right |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
If a = 1, b = 3, c = 9, and d = 3, what is the perimeter of this quadrilateral?
| 25 | |
| 17 | |
| 19 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 3 + 9 + 3
p = 16