Answer:
Step-by-step explanation:
Add the square of half the x-coefficient to both sides.
x² -12x +(-6)² = 61 +(-6)²
<h2> x² -12x +36 = 97</h2><h2 />
9514 1404 393
Answer:
cos(A) ≈ 0.9165
Step-by-step explanation:
Put the given value into the given relation and solve for the unknown.
sin²(A) +cos²(A) = 1
(2/5)² + cos²(A) = 1
cos²(A) = 1 -4/25 = 21/25 . . . . . subtract (2/5)²
cos(A) = √(21/25) ≈ 0.9165 . . . . . take the square root
_____
Both sine and cosine are positive in Quadrant I, so we're only interested in the positive square root.
Answer:
1. 42.95
2. 8.8 meters; -14 meters
3. -53; 780
Step-by-step explanation:
1. subtract 1985 from 2013, you get 28
plug in 28 to the equation and you get 42.95
2. plug in the values of t
-4.9 (2^2) + 1.7 (2) + 25 = 8.8
-4.9 (3^2) + 1.7 (3) + 25 = -14
3. plug in your values again
5^3 - 6 (5^2) - 8 (5) + 12 = -53
12^3 - 6 (12^2) - 8 (12) + 12 = 780
Answer:
B. -5
C. 5
Step-by-step explanation:
The absolute value means make it positive.
When solving an equation with an absolute value it means we have two solutions, a positive and a negative
|x| =5
x = 5 and x = -5
18/25, 51/75, 33/50, 13/20, 3/5
