| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
If angle a = 60° and angle b = 70° what is the length of angle c?
| 106° | |
| 88° | |
| 50° | |
| 133° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 70° = 50°
Solve for c:
c2 + 4c + 3 = 0
| 3 or 1 | |
| -1 or -3 | |
| 5 or -4 | |
| 5 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 4c + 3 = 0
(c + 1)(c + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 1) or (c + 3) must equal zero:
If (c + 1) = 0, c must equal -1
If (c + 3) = 0, c must equal -3
So the solution is that c = -1 or -3
Simplify (6a)(7ab) + (2a2)(2b).
| 52ab2 | |
| 46a2b | |
| 38a2b | |
| 52a2b |
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.
(6a)(7ab) + (2a2)(2b)
(6 x 7)(a x a x b) + (2 x 2)(a2 x b)
(42)(a1+1 x b) + (4)(a2b)
42a2b + 4a2b
46a2b
What is 2a + 4a?
| -2a2 | |
| 8a2 | |
| 6a | |
| 8a |
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.
2a + 4a = 6a
A coordinate grid is composed of which of the following?
all of these |
|
y-axis |
|
x-axis |
|
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.