Answer:
x=71
Step-by-step explanation:
Answer:
-7, -
-
, 9
Step-by-step explanation:
Answer:
(x + 2)² + (y - 5)² = 7²
Step-by-step explanation:
Incomplete question. I believe you meant, "write the equation of the circle with center at (-2, 5) and radius 7.
That would be:
(x + 2)² + (y - 5)² = 7²
Answer:
3x + 2
Step-by-step explanation:
6x + 1 - (3x-1) < distribute the negative sign into the expression
6x + 1 -3x + 1 < combine like terms
6x - 3x = 3x
1 + 1 = 2
our simplified expression is:
3x + 2
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
