| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
If side x = 15cm, side y = 15cm, and side z = 9cm what is the perimeter of this triangle?
| 23cm | |
| 29cm | |
| 39cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 15cm + 9cm = 39cm
Simplify 5a x 6b.
| 30\( \frac{a}{b} \) | |
| 30\( \frac{b}{a} \) | |
| 30ab | |
| 11ab |
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 x 6b = (5 x 6) (a x b) = 30ab
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, obtuse, right |
|
acute, right, obtuse |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
x-intercept |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
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.
The endpoints of this line segment are at (-2, 9) and (2, -3). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 2 | |
| y = -3x + 3 | |
| y = 3x - 1 | |
| y = 2x - 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, 9) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 3