| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
If side x = 9cm, side y = 8cm, and side z = 11cm what is the perimeter of this triangle?
| 20cm | |
| 37cm | |
| 28cm | |
| 36cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 8cm + 11cm = 28cm
If a = 1, b = 7, c = 3, and d = 2, what is the perimeter of this quadrilateral?
| 21 | |
| 27 | |
| 13 | |
| 28 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 7 + 3 + 2
p = 13
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
slope |
|
\({\Delta y \over \Delta x}\) |
|
y-intercept |
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.
If side a = 5, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{74} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{17} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 42
c2 = 25 + 16
c2 = 41
c = \( \sqrt{41} \)
Factor y2 - 3y - 28
| (y - 7)(y + 4) | |
| (y + 7)(y + 4) | |
| (y - 7)(y - 4) | |
| (y + 7)(y - 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -28 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -7 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 3y - 28
y2 + (-7 + 4)y + (-7 x 4)
(y - 7)(y + 4)