| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
On this circle, line segment AB is the:
radius |
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diameter |
|
circumference |
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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).
If side a = 7, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{74} \) | |
| 10 | |
| \( \sqrt{61} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 52
c2 = 49 + 25
c2 = 74
c = \( \sqrt{74} \)
What is 4a3 - 2a3?
| 2a6 | |
| 6a6 | |
| 2a3 | |
| 2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a3 - 2a3 = 2a3
Which of the following expressions contains exactly two terms?
monomial |
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quadratic |
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polynomial |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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slope |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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.