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Questions | 5 | 5 |
Correct | 0 | 3.12 |
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Solve -7c - c = -2c - 5y + 4 for c in terms of y.
y + 1 | |
-\(\frac{5}{7}\)y - \(\frac{5}{7}\) | |
\(\frac{4}{5}\)y - \(\frac{4}{5}\) | |
-1\(\frac{1}{2}\)y + 2 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-7c - y = -2c - 5y + 4
-7c = -2c - 5y + 4 + y
-7c + 2c = -5y + 4 + y
-5c = -4y + 4
c = \( \frac{-4y + 4}{-5} \)
c = \( \frac{-4y}{-5} \) + \( \frac{4}{-5} \)
c = \(\frac{4}{5}\)y - \(\frac{4}{5}\)
What is 6a6 - 9a6?
54a12 | |
a612 | |
-3a6 | |
15a12 |
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.
6a6 - 9a6 = -3a6
If angle a = 60° and angle b = 53° what is the length of angle d?
114° | |
130° | |
119° | |
120° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 53° = 67°
So, d° = 53° + 67° = 120°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 60° = 120°
What is the area of a circle with a radius of 5?
25π | |
7π | |
8π | |
6π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.