| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If side x = 5cm, side y = 8cm, and side z = 15cm what is the perimeter of this triangle?
| 38cm | |
| 28cm | |
| 24cm | |
| 36cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 8cm + 15cm = 28cm
The endpoints of this line segment are at (-2, 0) and (2, -2). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -1 | |
| -2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
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, 0) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)If a = c = 3, b = d = 6, what is the area of this rectangle?
| 6 | |
| 54 | |
| 18 | |
| 28 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 6
a = 18
On this circle, a line segment connecting point A to point D is called:
circumference |
|
diameter |
|
radius |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for z:
z2 - 64 = 0
| -2 or -5 | |
| 8 or -8 | |
| 9 or -2 | |
| 8 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 64 = 0
(z - 8)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 8) or (z + 8) must equal zero:
If (z - 8) = 0, z must equal 8
If (z + 8) = 0, z must equal -8
So the solution is that z = 8 or -8