2 3/2 is not equal to any of these
Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
A function is differentiable if you can find the derivative at every point in its domain. In the case of f(x) = |x+2|, the function wouldn't be considered differentiable unless you specified a certain sub-interval such as (5,9) that doesn't include x = -2. Without clarifying the interval, the entire function overall is not differentiable even if there's only one point at issue here (because again we look at the entire domain). Though to be fair, you could easily say "the function f(x) = |x+2| is differentiable everywhere but x = -2" and would be correct. So it just depends on your wording really.
I believe cats, cause they do things on their own but also dogs too. This is a very hard question.
Answer:
-6(x-2)=-7(x-3) = False x = 9
Step-by-step explanation:
Solve for x:
-6 (x - 2) = -7 (x - 3)
Expand out terms of the left hand side:
12 - 6 x = -7 (x - 3)
Expand out terms of the right hand side:
12 - 6 x = 21 - 7 x
Add 7 x to both sides:
7 x - 6 x + 12 = (7 x - 7 x) + 21
7 x - 7 x = 0:
7 x - 6 x + 12 = 21
7 x - 6 x = x:
x + 12 = 21
Subtract 12 from both sides:
x + (12 - 12) = 21 - 12
12 - 12 = 0:
x = 21 - 12
21 - 12 = 9:
Answer: x = 9
