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:
i think its C
Step-by-step explanation:
First answer: 12
Second answer: 6
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How to get these answers
She uses 1/3 of a cup for 1 cake, so we have this ratio
1/3 cup : 1 cake
Multiply both sides by 3 and we end up with
1 cup : 3 cakes
Then multiply both sides by 4 to change "1 cup" to "4 cups" and we have
4 cups : 12 cakes which is the answer to the first part
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For part 2, we'll follow the same steps as before, but instead of multiplying both sides by 4, we do 2 instead because we're dealing with 2 cups of oil.
1/3 cup : 1 cake
3*(1/3 cup) : 3*(1 cake)
1 cup : 3 cakes
2*(1 cup) : 2*(3 cakes)
2 cups : 6 cakes which is the answer to the second part
Answer:
y - 3 = 2(x + 1)
y - 3 = 2x + 2
y = 2x + 5
Step-by-step explanation:
For d and e are correct
I really hope this helps! Have an awesome day:D