Lets rewrite each set of points.
(-4√2, -2√3) and (-4√2, 2√3).
Now, you can see that both points are on the same horizontal line, meaning the x values are the same. this means that you only need to consider the y values. So, to take the distance we can do 2√3 - (- 2√3). This is the same as 2√3 + 2√3, which is 4√3.
Answer:
Y=3
Step-by-step explanation:
x=1
Y=-2(1)+5
Y=-2+5
Y=3
Answer:
16
Step-by-step explanation:
Recall the angle sum identities:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
sin(a + b) = sin(a) cos(b) + sin(b) cos(a)
sin(a - b) = sin(a) cos(b) - sin(b) cos(a)
Notice that adding the first two together, and subtract the last from the third, we get two more identities:
cos(a + b) + cos(a - b) = 2 cos(a) cos(b)
sin(a + b) + sin(a - b) = 2 sin(b) cos(a)
Let a = 4x and b = x. Then
cos(5x) + cos(3x) = 2 cos(4x) cos(x)
sin(5x) - sin(3x) = 2 sin(x) cos(4x)
Now,

as required.