Squaring a number means you're multiplying the number by itself. This would mean (6b)^2 = (6b)(6b).
Answer:
x
4/
64
y
10
Step-by-step explanation:
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
Then Alice has a lot of spare time and I need points !!
Answer:
x < 3 or x > 9
Step-by-step explanation:
given 6| x - 6 | + 7 > 25 ( subtract 7 from both sides )
6| x - 6 | > 18 ( divide both sides by 6 )
| x - 6 | > 3
Inequalities of the form | x | > a always have solutions of the form
x < - a OR x > a, hence
x - 6 < - 3 or x - 6 > 3 ( add 6 to both sides in both inequalities )
x < 3 or x > 9