| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
Solve for x:
x2 + 15x + 56 = 0
| -7 or -8 | |
| 8 or -9 | |
| 5 or 1 | |
| 7 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 15x + 56 = 0
(x + 7)(x + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x + 8) must equal zero:
If (x + 7) = 0, x must equal -7
If (x + 8) = 0, x must equal -8
So the solution is that x = -7 or -8
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
Solve for c:
c2 + 6c - 1 = 3c - 3
| 7 or -1 | |
| 9 or -1 | |
| -1 or -2 | |
| -5 or -9 |
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 + 6c - 1 = 3c - 3
c2 + 6c - 1 + 3 = 3c
c2 + 6c - 3c + 2 = 0
c2 + 3c + 2 = 0
Next, factor the quadratic equation:
c2 + 3c + 2 = 0
(c + 1)(c + 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 1) or (c + 2) must equal zero:
If (c + 1) = 0, c must equal -1
If (c + 2) = 0, c must equal -2
So the solution is that c = -1 or -2
On this circle, line segment AB is the:
circumference |
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chord |
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radius |
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diameter |
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).
If a = 1 and y = 1, what is the value of -6a(a - y)?
| 42 | |
| 72 | |
| 0 | |
| -702 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-6a(a - y)
-6(1)(1 - 1)
-6(1)(0)
(-6)(0)
0