| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.30 |
| Score | 0% | 46% |
Solve for a:
a2 + 2a - 35 = 0
| 5 or -7 | |
| 9 or -7 | |
| -5 or -7 | |
| 9 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 2a - 35 = 0
(a - 5)(a + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 7) must equal zero:
If (a - 5) = 0, a must equal 5
If (a + 7) = 0, a must equal -7
So the solution is that a = 5 or -7
Solve for c:
c2 - 5c + 13 = 5c + 4
| -6 or -9 | |
| 1 or 9 | |
| 6 or -5 | |
| -3 or -3 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 - 5c + 13 = 5c + 4
c2 - 5c + 13 - 4 = 5c
c2 - 5c - 5c + 9 = 0
c2 - 10c + 9 = 0
Next, factor the quadratic equation:
c2 - 10c + 9 = 0
(c - 1)(c - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c - 9) must equal zero:
If (c - 1) = 0, c must equal 1
If (c - 9) = 0, c must equal 9
So the solution is that c = 1 or 9
The endpoints of this line segment are at (-2, -6) and (2, 0). What is the slope of this line?
| -2 | |
| 2 | |
| 3 | |
| 1\(\frac{1}{2}\) |
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, -6) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d2 |
|
c = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral and isosceles |
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isosceles and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.