Answer:
This is actually pretty easy just find the intersecting points from the lines
Number of solutions: 2
What are the solutions: (4,5) and (0,-3)
9514 1404 393
Answer:
C
Step-by-step explanation:
The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.
For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...
(4x +2y) -2(x +y) = (14) -2(3)
4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses
2x = 8 . . . . . . . . . . . . . . collect terms
-12+-12=-24
-6+-6=-12
-11+-11=-22
-10+-10=-20
-9+-9=-18
-8+-8=-16
-7+-7=-14
-5+-5=-10
-4+-4=-8
-3+-3=-6
-1+-1=-2
1+1=2
2+2=4
3+3=6
4+4=8
5+5=10
6+6=12
Answer:
Step-by-step explanation:
From the previous answers you know the angles and side lengths of the triangle:
α = 60°
Ф = 30°
and the side lengths:
1,2 and √3.
Remember:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Now you can read off from the triangle:
sin 30° = 1/2
cos 60° = 1/2
sin 60° = √3/2
cos 30° = √3/2
tan 30° = 1/√3
tan 60° = √3