Answer:
Part A) 
Part B) 
Part C) 
Step-by-step explanation:
Part A) we know that
In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse
so

substitute the values

Part B) we know that
In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse
so

substitute the values

Part C) we know that
In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A
so

substitute the values

Answer: Option D
Step-by-step explanation:
The equation of a line in the form of "slope-interception" has the following form:

Where m is the slope of the line and b is the interception of the line with the y axis.
In this case we know that the line has a slope of -2. Then
.
We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:
.
Finally the equation of the line will be:
If we add 2x on both sides of the equation we get:
The answer is the option D
Answer:
y+1=5/2(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-(-1))/(-4-(-2))
m=(-6+1)/(-4+2)
m=-5/-2
m=5/2
y-y1=m(x-x1)
y-(-1)=5/2(x-(-2))
y+1=5/2(x+2)