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Klio2033 [76]
4 years ago
8

What is the slope of the line determined by the equation -1/2x+3/4y=0

Mathematics
1 answer:
kvasek [131]4 years ago
7 0

Answer:

The slope is 2/3

Step-by-step explanation:

-1/2x+3/4y=0

To find the slope, we need to get the equation in the form y= mx+b

Add 1/2x to each side

-1/2x+ 1/2 x+3/4y=0+1/2x

3/4 y = 1/2x

Multiply  by 4/3 to isolate y

4/3 * 3/4 y = 4/3 * 1/2 x

y = 2/3 x

The slope is 2/3 and the y intercept is 0

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Order these numbers from least to greatest.<br> 79/20, 3.702, 3 10/11, 3.70
frutty [35]

Answer:

3.70 < 3.702 < 3 10/11 < 79/20

Step-by-step explanation:

3 0
3 years ago
5^2•3^-1•5^-3/3^4•5^-1•3^-3
puteri [66]
Assuming you want the expression to be simplified. 

We begin with the following: 

5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}

Simplify the first part, 5^{2}. That is 25. Now we have this: 

25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3} 

Next, simplify 3^{-1}, which is 1/3, and get this: 

25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3} 

The next part is \frac{5^-3}{3^{4}}. Simplify the denominator, 3^{4}, which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to \frac{1}{10125}. Now we have: 

25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}

Now simplify 5^{-1}, which is 0.2, or 1/5. Now we have: 

25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3} 

Finally, simplify 3^{-3}. That is 1/27. We have: 

25* 1/3 * \frac{1}{10125} * 0.2 * 1/27

Lastly, multiply them all together! Now we are done, with the product of: 

\frac{1}{6075}

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (:
3 0
3 years ago
Find the missing side lengths​
Vera_Pavlovna [14]

Cos( 30 ) = 19√3 / x

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Simplify √3 from both sides

1 / 2 = 19 / x

Multiply both sides by x

1 /2 × x = 19 / x × x

x / 2 = 19

Multiply both sides by 2

x / 2 × 2 = 19 × 2

x = 38

_____________________________

Sin( 30 ) = y / x

1 / 2 = y / 38

Multiply both sides by 38

38 × 1 / 2 = 38 × y / 38

38 / 2 = y

19 = y

y = 19

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