So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
Answer:

Step-by-step explanation:

The graph is shown below. I used GeoGebra to create the graph. The graph is restricted on the domain
meaning that everything to the left of x = 0 is not drawn, and the same for everything to the right of x = 2.
A table of values is included as well. Each row in the table represents an ordered pair point (x,y) that is on the blue cosine graph.
Answer:
11 feet (Option C)
Step-by-step explanation:
Let the longer side be l and the shorter side be b.
We know that,
→ Perimeter of rectangle = 2 ( longer side + shorter side )
Here,
- Perimeter of rectangle is 32 feet.
→ 32 = 2 (l + b)
→ 32 = 2l + 2(5)
→ 32 = 2l + 10
→ 32 - 10 = 2l
→ 22 = 2l
→
= l
→ 11 = l
→<u> 11 feet = longer side</u>
<u>Length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>longer</u><u> </u><u>side</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u> </u><u>feet</u><u>.</u>