Answer:
(2,2)
Step-by-step explanation:
first graph the line y=2 (draw a horizontal line through 2 on the y-axis
then graph the line y=1/2x +1 ( plot the point (0,1) and then move up 1 and right 2 or down 1 left 2
then find the point that the lines intersect. That is the solution for the system
Answer:
1) C
2) D
Step-by-step explanation:
1)
We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.
This is represented by the diagram below.
Recall that cosine is the ratio of the adjacent side to the hypotenuse.
Find the hypotenuse:

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

Our answer is C.
2)
We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.
This is represented in the diagram below.
Likewise, find the hypotenuse:

Sine is given by the ratio of the opposite side to the hypotenuse.
The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

Our answer is D.
Answer: 16
-7
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= (4-2)/(3--2)
= (4-2)/(3+2)
=2/5