This is in the 3rd quadrant, so -12 is the adjacent side of the 5,12,13 triangle.
Cot(theta) = -12/(-13) = 12/13
Answer:
-216
Step-by-step explanation:
Answer:
The area 2730 possible arrangements of first, second, and third place.
Step-by-step explanation:
The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
3 from a set of 15. So

The area 2730 possible arrangements of first, second, and third place.
1. 4x = 7(x - 3) 1.Given
4x = (7)(x) + (7)(-3)
2. 4x = 7x - 21 2.Distributive property
4x - 7x = 7x - 7x - 21
3. -3x = -21 3.Subtraction property of equality
-3x : (-3) = -21 : (-3)
4. x = 7 4.Division property of equality
Answer:
The y intercept is (0,-22)
Step-by-step explanation:
To find the y intercept, set x =0 and solve for y
f(0)=-0^2+10*0-22
= -22