it depends on what your supposed to do i would finish it myself
1. Find the "opposite side," if the angle is 60 degrees and the hyp is 6:
opp opp sqrt(3)
sin 60 deg = ------- = -------- = ----------
hyp 6 2
Cross-multiplying, 2(opp) = 6sqrt(3), so that opp = 3 sqrt(3) (answer)
2. Use the Pyth. Thm. to find the "adjacent side:"
[3sqrt(3)]^2 + x^2 = 6^2, or 9(3) + x^2 = 36, or x^2 = 9, or x = 3.
The lengths of the legs of this 30-60-90 triangle are 3 and 3 sqrt(3).
check: Does 3^2 + [3sqrt(3)]^2 = 6^2?
Does 9 + 9(3) = 6^2? YES
Start with the slope formula, shown below.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have m = -8 - 4 / 9 - 1 or -12/8.
Notice that -12/8 can be reduced to -3/2.
So the slope of this line is -3/2.
The variable that's used to represent slope is <em>m</em>.
So here, we would say that m = -3/2.
The correct answer is the first choice: (-3/2 , 9/2),
To find the new points, you have to perform both of the transformations listed. First is a dilation by 3/2. Then, a second dilation must be performed by 1/2.
This means you multiply the values by 3/2, then 1/2.
The points changes from (-2, 6) to (-3, 9) to (-3/2, 9/2).
