| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
A coordinate grid is composed of which of the following?
y-axis |
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x-axis |
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all of these |
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origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If side a = 5, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{50} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 52
c2 = 25 + 25
c2 = 50
c = \( \sqrt{50} \)
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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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.
Find the value of c:
-7c + y = -2
-5c - 4y = -7
| -7\(\frac{1}{2}\) | |
| 1\(\frac{4}{5}\) | |
| -3\(\frac{1}{3}\) | |
| \(\frac{5}{11}\) |
You need to find the value of c so solve the first equation in terms of y:
-7c + y = -2
y = -2 + 7c
then substitute the result (-2 - -7c) into the second equation:
-5c - 4(-2 + 7c) = -7
-5c + (-4 x -2) + (-4 x 7c) = -7
-5c + 8 - 28c = -7
-5c - 28c = -7 - 8
-33c = -15
c = \( \frac{-15}{-33} \)
c = \(\frac{5}{11}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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h2 x l2 x w2 |
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h x l x w |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.