Answer: y+0
As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.
Step-by-step explanation:
Number of ways of choosing two pair of sneakers from three pairs named A, B, C is given by 3C2 (3 combination 2) = 3! / 2!(3 - 2)! = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3.
Therefore, the sample space is given by S = {AB, AC, BC}
Answer:
3rd Option
Step-by-step explanation:
Which equation is the inverse of y = 7x2 – 10?
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
<span>sin(x-y) = (24-14*sqrt(2))/75
Write down what you know
sin(x) = 1/3
sec(y) = 25/24
cos(y) = 1/sec(y) = 24/25
cos(x) = sqrt(1-sin(x)^2) = sqrt(1-1/9) = sqrt(8/9) = 2*sqrt(2)/3
sin(y) = sqrt(1-cos(y)^2) = sqrt(1-576/625) = sqrt(49/625) = 7/25
We now know the sin and cos of both x and y.
Now to get the sin of x-y.
sin(x-y) = sin(x)cos(y) - cos(x)sin(y)
Substitute the known values for sin and cos of x and y, then evaluate and simplify
sin(x-y) = (1/3)(24/25) - (2*sqrt(2)/3)(7/25)
sin(x-y) = 24/75 - 14*sqrt(2)/75
sin(x-y) = (24-14*sqrt(2))/75</span>
