Answer:

Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

Calculating the inverse sine function:


Without the instructions, I can only assume that you are to "expand the given expression."
Following order of operations rules requires that (3x-2)^2 and -6(2x-1.5) be evaluated first.
(3x-2)^2 = 9x^2 - 12x + 4 and -6(2x-1.5) = -12x + 9
Then we have 9x^2 - (9x^2 - 12x + 4) -12x + 9
the 9x^2 terms cancel, leaving us with 12x - 4 - 12x + 9 = 5 (answer)
Answer:
The slope between the points (0, -6) and (3, -2) will be:
Step-by-step explanation:
Given the points
The slope between the points (0, -6) and (3, -2) will be:




Therefore, the slope between the points (0, -6) and (3, -2) will be:
Method A: 7.6666.... = 7 + 0.6666... = 7 + 2/3 = 21/3 + 2/3 = 23/3
Method B: 10(7.666...) - 1(7.666...) = 76.666... - 7.666... = 69.000...
(10 - 1)(7.666...) = 69
7.666... = 69/9 = 23/3
<span>hmmm: g maps x onto 3-2sin(x) for all x from 0 to A degrees
g(x) = 3-2sin(x)
the inverse would have to be arcsin (3-x)/2, which only has a radian output between -pi and pi i believe. but this is just from memory</span>