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2 years ago

The horizontal angle between objects can be measured by _____.

Mathematics

1 answer:

Semmy [17]2 years ago

3 0

A magnetic compass, a Brunton Compass, protractor, a transit, or a GPS

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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

BRAINLIESTT ASAP! PLEASE HELP ME :)

Oduvanchick [21]

Answer:

$\displaystyle symmetric$

Step-by-step explanation:

Everything is distributed evenly on both ends.

I am joyous to assist you anytime.

8 0

3 years ago

Select the solution for the system of linear equations y=3x+4 and y=x+2

Oduvanchick [21]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = x + 2 → (2)

Substitute y = 3x + 4 into (2)

3x + 4 = x + 2 ( subtract x from both sides )

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting x = - 1 into (2)

y = - 1 + 2 = 1

Solution is (- 1, 1 )

3 0

2 years ago

Read 2 more answers

What’s this hdhshxbbsncjdkckskxbsh

7nadin3 [17]

Answer:

i dunno what that means but i think maybe your keyboard broke so the type of letters is random??

5 0

2 years ago

Find the product of the binomials. (a +1) and (a -1)

yan [13]

Answer:

a^2-1

Step-by-step explanation:

(a+1)(a-1)

=a^2-1

6 0

2 years ago