Answer:
(-20, 19)
Step-by-step explanation:
We need to use the Midpoint Formula, which says that given two points 
and 
, the midpoint is 
.
Here, we are given one of the endpoints and the midpoint:
endpoint S = (5, -8)
midpoint M = (-7.5, 5.5)
Plug these into the formula. In 
, x1 = 5, and this whole expression is equal to -7.5:
Solve for x2:
5 + x2 = 2 * (-7.5) = -15
x2 = -15 - 5 = -20
Now, let's find y2. y1 is just -8, and the entire expression for the y-coordinate of the midpoint is equal to 5.5. So:
Solve for y2:
-8 + y2 = 2 * 5.5
-8 + y2 = 11
y2 = 11 + 8 = 19
The coordinates of T are thus (-20, 19).
<em>~ an aesthetics lover</em>
Total number of pieces of paper = 11
Number of pieces with a vowel = 4
Probability of picking a vowel = 4/11 (answer)
Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Answer:
A=-2 B=17
Step-by-step explanation:
Answer:
5,200
Step-by-step explanation:
