Answer:
1) 

2) 

3) 

4) 

Step-by-step explanation:
The quadratic formula is given by:

We can use this formula in order to solve the following equations:
1. x^2 − 2x = 12 → a = 1, b = −2, c = −12
For this case if we apply the quadratic formula we got:



2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2
For this case if we apply the quadratic formula we got:



3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7
For this case if we apply the quadratic formula we got:



4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9
For this case if we apply the quadratic formula we got:



6x-4>8-2x
Add 2x on each side
8x-4>8
8x>12
x>12/8
x>3/2
The answer is B
This is the graph for y=-2(times)5^x
Hope this helps!
Answer:

Step-by-step explanation:
If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:
Solve for the missing leg of the triangle, using the Pythagorean theorem:

Therefore, for the trigonometric relationships:

Now, substitute and solve for the relations:
Answer:
Step-by-step explanation:
A and B are along a straight line
(3x - 20) + 2x = 180
5x = 200
x = 40
3(40) - 20 = 100°