Answer:
y = 3/5x + 6
Step-by-step explanation:
When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given point coordinates, this is ...
y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0
y = 3/5(x +10)
y = (3/5)x + 6
If the slope of the function is 2, the amount it can change over the interval 0–2 is
... 2×2 = 4 units
If the slope is 7, the amount it can change over the interval 0–2 is
... 2×7 = 14 units
The least possible value of f(2) is 2+4 = 6.
The greatest possible value of f(2) is 2+14 = 16.
Answer:
x = 180
Step-by-step explanation:
First, you need to know
1. Double-angle formula:
cos(2x) =
2. Pythagorean identity:
Back to your problem, replacing the variable by the above:
By Double-angle formula
By Pythagorean identity
Given
, we know -1 < sinx < 1, for every x ∈ R