Answer:
85%
Step-by-step explanation:
What I did here was multiply 34/40 by 100 to get 3400/40 or 85%.
\begin{cases}b(1)=16\\\\ b(n)=b(n-1)+1 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ b(1)=16 b(n)=b(n−1)+1 Find the 2^{\text{nd}}2 nd 2, start s
2 answers:
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Answer:
coordinate of the other endpoint is (-9,-2)
Step-by-step explanation:
Given that a segment has endpoints at (1, -2). The midpoint is at (-4, -2).
Now we need to find about what are the coordinates of the other endpoint.
let the coordinates of other end points are (x,y)
Then mid point of (1,-2) and (x,y) is given by mid point formula:
hence coordinate of the other endpoint is (-9,-2)
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.