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Solve for c:
9c + 9 > 3 + c
| c > 5 | |
| c > -\(\frac{2}{9}\) | |
| c > \(\frac{1}{2}\) | |
| c > -\(\frac{3}{4}\) |
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.
9c + 9 > 3 + c
9c > 3 + c - 9
9c - c > 3 - 9
8c > -6
c > \( \frac{-6}{8} \)
c > -\(\frac{3}{4}\)
Solve 6a + 6a = -4a + 4y + 9 for a in terms of y.
| -2\(\frac{3}{5}\)y - 1\(\frac{4}{5}\) | |
| -1\(\frac{2}{5}\)y + 1\(\frac{2}{5}\) | |
| -\(\frac{1}{5}\)y + \(\frac{9}{10}\) | |
| y + 8 |
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.
6a + 6y = -4a + 4y + 9
6a = -4a + 4y + 9 - 6y
6a + 4a = 4y + 9 - 6y
10a = -2y + 9
a = \( \frac{-2y + 9}{10} \)
a = \( \frac{-2y}{10} \) + \( \frac{9}{10} \)
a = -\(\frac{1}{5}\)y + \(\frac{9}{10}\)
What is 7a + 7a?
| 14a | |
| 2 | |
| a2 | |
| 14a2 |
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.
7a + 7a = 14a
On this circle, line segment CD is the:
radius |
|
diameter |
|
chord |
|
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).
The formula for the area of a circle is which of the following?
a = π d2 |
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a = π d |
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a = π r2 |
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a = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.