| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.70 |
| Score | 0% | 54% |
If angle a = 63° and angle b = 58° what is the length of angle c?
| 59° | |
| 87° | |
| 117° | |
| 86° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 58° = 59°
Solve -3c + 7c = -4c - 4y - 6 for c in terms of y.
| 9y - 7 | |
| y - 1 | |
| -y - 1 | |
| -11y - 6 |
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.
-3c + 7y = -4c - 4y - 6
-3c = -4c - 4y - 6 - 7y
-3c + 4c = -4y - 6 - 7y
c = -11y - 6
Factor y2 - 4y - 45
| (y - 9)(y - 5) | |
| (y + 9)(y - 5) | |
| (y + 9)(y + 5) | |
| (y - 9)(y + 5) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -45 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -9 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 4y - 45
y2 + (-9 + 5)y + (-9 x 5)
(y - 9)(y + 5)
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
circumference |
|
chord |
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).
Simplify (5a)(5ab) + (6a2)(5b).
| 110a2b | |
| 55a2b | |
| 110ab2 | |
| 5a2b |
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.
(5a)(5ab) + (6a2)(5b)
(5 x 5)(a x a x b) + (6 x 5)(a2 x b)
(25)(a1+1 x b) + (30)(a2b)
25a2b + 30a2b
55a2b