| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.64 |
| Score | 0% | 53% |
The endpoints of this line segment are at (-2, -7) and (2, 5). What is the slope of this line?
| \(\frac{1}{2}\) | |
| 3 | |
| -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, -7) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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trapezoid |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
On this circle, a line segment connecting point A to point D is called:
diameter |
|
circumference |
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chord |
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radius |
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 x:
7x - 4 < -8 - 3x
| x < 1\(\frac{3}{4}\) | |
| x < 3\(\frac{1}{2}\) | |
| x < -\(\frac{2}{5}\) | |
| x < 1\(\frac{3}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
7x - 4 < -8 - 3x
7x < -8 - 3x + 4
7x + 3x < -8 + 4
10x < -4
x < \( \frac{-4}{10} \)
x < -\(\frac{2}{5}\)
If side a = 3, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{90} \) | |
| \( \sqrt{162} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 92
c2 = 9 + 81
c2 = 90
c = \( \sqrt{90} \)