Answer:
(1, 4)
Step-by-step explanation:
5x-2y=-3 -2x-y=-6 =>
5x-2y=-3
-2x-y=-6 Multiply all three terms by -2: 4x + 2y = 12
Then we have:
5x-2y=-3
4x + 2y = 12
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9x = 9 and so x = 1. Then, using -2x - y = -6, and substituting 1 for x:
-2(1) - y = -6, or
2 + y = 6, or
y = 4
Then the solution is (1, 4)
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:
what graph
Step-by-step explanation:
Answer:
#3: 81
Step-by-step explanation:
I haven't done this type of math in a while so I'm unsure about #1 and #2, but #3 is 81.
3^4 = 3 × 3 × 3 × 3
3^4 = 9 × 3 × 3
3^4 = 27 × 3
3^4 = 81
