9514 1404 393
Answer:
C 3x +1 = y
Step-by-step explanation:
x-values increase by 1 from row to row.
y-values increase by 3 from row to row.
The slope of the linear function is the ratio of the y-increase to the x-increase:
m = ∆y/∆x = 3/1 = 3
The only offered choice with an x-coefficient of 3 is ...
C 3x +1 = y
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If you check this against the table entries, you find it fits.
3(1) +1 = 4
3(2) +1 = 7
and so on.
Answer:
x = {nπ -π/4, (4nπ -π)/16}
Step-by-step explanation:
It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:
cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)
= cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)
= sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))
= (sin(x) +cos(x))·(sin(4x) +cos(4x))
Each of the sums in this product is of the same form, so each can be simplified using the identity ...
sin(x) +cos(x) = √2·sin(x +π/4)
Then the given equation can be rewritten as ...
cos(3x) +sin(5x) = 0
2·sin(x +π/4)·sin(4x +π/4) = 0
Of course sin(x) = 0 for x = n·π, so these factors are zero when ...
sin(x +π/4) = 0 ⇒ x = nπ -π/4
sin(4x +π/4) = 0 ⇒ x = (nπ -π/4)/4 = (4nπ -π)/16
The solutions are ...
x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n
The answer is X^2-xy+2x^2y sorry if I am wrong
Answer:
Um.. where's the picture?... wheres the rectangle and the measurements.
