| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
If side x = 10cm, side y = 13cm, and side z = 5cm what is the perimeter of this triangle?
| 28cm | |
| 23cm | |
| 29cm | |
| 41cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 13cm + 5cm = 28cm
Simplify 3a x 2b.
| 6\( \frac{a}{b} \) | |
| 6ab | |
| 6\( \frac{b}{a} \) | |
| 5ab |
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.
3a x 2b = (3 x 2) (a x b) = 6ab
What is 7a2 - 8a2?
| 56a2 | |
| a24 | |
| 56a4 | |
| -1a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a2 - 8a2 = -1a2
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
triangle |
|
quadrilateral |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope-intercept equation for this line?
| y = -x - 2 | |
| y = -1\(\frac{1}{2}\)x + 1 | |
| y = 3x - 4 | |
| y = -\(\frac{1}{2}\)x + 2 |
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 -4. 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, -10) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 4