Answer:
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
The <u><em>correct answer</em></u> is:
0.6 + 0.02 + 0.004
Explanation:
To write a number in expanded form, we use place value. In this number, 6 is in the tenths place; that makes its value 6(0.1) = 0.6.
2 is in the hundredths place; that makes its value 2(0.01) = 0.02.
4 is in the thousandths place; that makes its value 4(0.001) = 0.004.
Together, we get a sum of 0.6+0.02+0.004.
Answer:
3/12 and 5/x
12 times 5 is 60 so 3 times 20 shall be 60
3/12 = 5/20
:)
Answer: Yes, the point (3,4) is a solution to the system.
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Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
