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3 years ago

If EG and HJ are parallel lines and m

Mathematics

1 answer:

Anna35 [415]3 years ago

3 0

Answer:

m JIK = 122°

Step-by-step explanation:

HERE, L || M

So, m JIK = m GFI

( since they are corresponding angles pair )

so, m JIK = 122°

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Given <img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

How to write 3482000000 in scientific notation

Ber [7]

To write 3482000000 in scientific notation. Put down the first number (3) and all numbers that come after it (not 0) put after a decimal point. Then count all of the numbers after the decimal points including 0's and that's your exponent. Like so,
3.482*10^9

Hope this helps!=)

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2 years ago

Read 2 more answers

A ball has a diameter of 12 inches. What is the value of the ball?

Vedmedyk [2.9K]

I'm really bad at math so can you help me with that

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3 years ago

What is 4615.50÷12.75

den301095 [7]

The answer is C - 362.

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