| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
Solve for b:
b2 - 7b + 6 = 0
| 6 or -7 | |
| 1 or 6 | |
| 3 or -2 | |
| -6 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 7b + 6 = 0
(b - 1)(b - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 6) must equal zero:
If (b - 1) = 0, b must equal 1
If (b - 6) = 0, b must equal 6
So the solution is that b = 1 or 6
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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x-intercept |
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\({\Delta y \over \Delta x}\) |
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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.
The formula for the area of a circle is which of the following?
c = π d |
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c = π d2 |
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c = π r |
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c = π r2 |
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.
If AD = 24 and BD = 18, AB = ?
| 6 | |
| 18 | |
| 16 | |
| 3 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDA right angle measures:
45° |
|
180° |
|
90° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.