Sin 2 x + sin x = 0
( sin 2 x = 2 sin x cos x )
2 sin x cos x + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0
x 1 = 0
x 2 = π
or: 2 cos x + 1 = 0
2 cos x = - 1
cos x = -1/2
x 3 = 2π/3
x 4 = 4π/3
Answer:
The two numbers are 52 and 12.
Step-by-step explanation:
x+y=64
x=16+3y
Now, substitute the second equation into the first one.
16+3y+y=64
16+4y=64
4y=48
y=12
Substitute 12 into one of the equations in order to find x.
x=16+3(12)
x=16+36
x=52
Answer:
No Solution.
Step-by-step explanation:
x+y=8
y=3-x
-------------
x+(3-x)=8
x+3-x=8
x-x+3=8
0+3=8
3=8
no solution
The function is y = IxI + 9
Step-by-step explanation:
Let us revise the translation of a function
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ y = IxI
∵ The graph of the function is shifted 9 units up
- That means the graph of the function is translated 9 units, up
∵ The equation of the function f(x) whose graph shifted k units
up is f(x) + k
∵ k = 9
∴ The equation of the function is y = IxI + 9
The function is y = IxI + 9
Look to the attached figure for more understand
Learn more:
You can learn more about the translation in brainly.com/question/2451812
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Answer: 1.83
Step-by-step explanation: 1 2/9 divided by 2/3 = 1.83