| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
On this circle, a line segment connecting point A to point D is called:
diameter |
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chord |
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radius |
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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).
Solve for c:
c2 + 5c - 24 = 0
| 8 or -9 | |
| 9 or -4 | |
| 3 or -8 | |
| 6 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 5c - 24 = 0
(c - 3)(c + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 3) or (c + 8) must equal zero:
If (c - 3) = 0, c must equal 3
If (c + 8) = 0, c must equal -8
So the solution is that c = 3 or -8
A quadrilateral is a shape with __________ sides.
5 |
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3 |
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2 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
What is the circumference of a circle with a diameter of 9?
| 8π | |
| 16π | |
| 30π | |
| 9π |
The formula for circumference is circle diameter x π:
c = πd
c = 9π
Solve -3a - 7a = 7a - 8y + 1 for a in terms of y.
| \(\frac{1}{10}\)y - \(\frac{1}{10}\) | |
| 4y + 3 | |
| 1\(\frac{3}{4}\)y - \(\frac{1}{2}\) | |
| y - 1\(\frac{2}{7}\) |
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.
-3a - 7y = 7a - 8y + 1
-3a = 7a - 8y + 1 + 7y
-3a - 7a = -8y + 1 + 7y
-10a = -y + 1
a = \( \frac{-y + 1}{-10} \)
a = \( \frac{-y}{-10} \) + \( \frac{1}{-10} \)
a = \(\frac{1}{10}\)y - \(\frac{1}{10}\)