Answer:
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Answer:
Correct Answer
Step-by-step explanation:
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The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
Answer:
x = -3/10
Step-by-step explanation:
Solve for x by substituting y = 3x into the other equation:
2x - 4y = 3
2x - 4(3x) = 3
Simplify and solve for x:
2x - 12x = 3
-10x = 3
x = -3/10
So, x = -3/10