9514 1404 393
Answer:
Step-by-step explanation:
The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)
a) the sign of 3i is changed: 2 + 3i
b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5
c) the sign of 2i is changed: 7 +2i
d) the sign of sqrt(7) is changed: 4 +√7
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‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.
Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.
Answer:
r = 8.12
Step-by-step explanation:
The volume for a cylinder is V=πr^2h therefore,
v = 2279.64
h = 11ft
r = ?
2279.64 = πr^2 * 11
![\frac{2279.64}{11}= {\pi r^2} \\](https://tex.z-dn.net/?f=%5Cfrac%7B2279.64%7D%7B11%7D%3D%20%7B%5Cpi%20r%5E2%7D%20%5C%5C)
207.24 = πr^2
![\frac{207.24}{\pi} =r^2\\\\66 = r^2\\\\\sqrt{66} = r\\\\\\8.12 = r](https://tex.z-dn.net/?f=%5Cfrac%7B207.24%7D%7B%5Cpi%7D%20%3Dr%5E2%5C%5C%5C%5C66%20%3D%20r%5E2%5C%5C%5C%5C%5Csqrt%7B66%7D%20%3D%20r%5C%5C%5C%5C%5C%5C8.12%20%3D%20r)
Step-by-step explanation:
A six sided dice contains even numbers on three sides and odd numbers on remaining three sides.
Therefore,
Probability of rolling an odd number
![= \frac{3}{6} \\ \\ = \frac{1}{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B3%7D%7B6%7D%20%20%5C%5C%20%5C%5C%20%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Answer:
If you need it as a fraction then it is 1/18
Step-by-step explanation:
I think january or december