| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
The endpoints of this line segment are at (-2, 4) and (2, 2). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x - 1 | |
| y = -3x - 3 | |
| y = -1\(\frac{1}{2}\)x - 1 | |
| y = -\(\frac{1}{2}\)x + 3 |
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, 4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x + 3
Simplify (6a)(9ab) - (7a2)(4b).
| 82a2b | |
| 26a2b | |
| 82ab2 | |
| -26ab2 |
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)(9ab) - (7a2)(4b)
(6 x 9)(a x a x b) - (7 x 4)(a2 x b)
(54)(a1+1 x b) - (28)(a2b)
54a2b - 28a2b
26a2b
Solve for c:
c + 5 > 4 - 7c
| c > 1\(\frac{1}{2}\) | |
| c > 1\(\frac{1}{3}\) | |
| c > -\(\frac{1}{8}\) | |
| c > 1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
c + 5 > 4 - 7c
c > 4 - 7c - 5
c + 7c > 4 - 5
8c > -1
c > \( \frac{-1}{8} \)
c > -\(\frac{1}{8}\)
If a = 9, b = 9, c = 5, and d = 4, what is the perimeter of this quadrilateral?
| 17 | |
| 21 | |
| 27 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 9 + 5 + 4
p = 27
If side x = 10cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?
| 33cm | |
| 29cm | |
| 34cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 14cm + 10cm = 34cm