Let's say the number is represented by x.
Five times the number is 5x.
5x - 58 = -23 (Add 58 to both sides)
5x = 35 (divide both sides by 5)
x = 7
The number is 7.
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
Answer:
that would be the <u>second option (-4,7)(-7,0)(-1,0)</u>
Step-by-step explanation:
The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.
Answer:
[-5, 5]
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's do it part by part:
<u>Twice "a":</u>
This means 2 times a, or 2*a
<u>Cube of "a":</u>
This means a cubed, so a to the power 3, or 
Also note "is" means "equal" and "of" means "multiplication.
Twice a increased by cube of a means both parts are summed so we have:
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This is the formula/equation
