| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
If side a = 4, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{17} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{98} \) | |
| \( \sqrt{41} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 62
c2 = 16 + 36
c2 = 52
c = \( \sqrt{52} \)
Solve -9a - 2a = 2a - 9z - 7 for a in terms of z.
| \(\frac{5}{8}\)z - \(\frac{3}{4}\) | |
| -\(\frac{5}{8}\)z + \(\frac{3}{16}\) | |
| \(\frac{1}{4}\)z + \(\frac{1}{8}\) | |
| \(\frac{7}{11}\)z + \(\frac{7}{11}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-9a - 2z = 2a - 9z - 7
-9a = 2a - 9z - 7 + 2z
-9a - 2a = -9z - 7 + 2z
-11a = -7z - 7
a = \( \frac{-7z - 7}{-11} \)
a = \( \frac{-7z}{-11} \) + \( \frac{-7}{-11} \)
a = \(\frac{7}{11}\)z + \(\frac{7}{11}\)
Simplify 4a x 8b.
| 32ab | |
| 32\( \frac{b}{a} \) | |
| 32\( \frac{a}{b} \) | |
| 12ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
4a x 8b = (4 x 8) (a x b) = 32ab
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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all interior angles are right angles |
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the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
On this circle, a line segment connecting point A to point D is called:
chord |
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radius |
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diameter |
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circumference |
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).