Answer: 
Step-by-step explanation:
The acceleration 
of the satellite can be calculated by the following equation:
Where:
is the final speed of the satellite
is the initial speed of the satellite (it was "stationary" before the release)
is the time
Isolating :
Finally:
The answer to this question is B
-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.
-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.
-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends.
So the value of 'x' must satisfy these conditions:
<em>0 < x < 15</em>
<em>15 < x < 25</em>
<em>25 < x < 40</em>
Any number that satisfies these conditions is an acceptable value for 'x'.
Answer:
-4x + 12 = 20 is incorrect. she added 12 to 20 instead of subtracting 12 from both sides.
Step-by-step explanation:
It should have been, write problem
-4(x - 3) = 20
Use distributive property.
-4x + 12 = 20
subtract 12 from each side
-4x =8
divide each side by -4
x = -2
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
