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azamat
3 years ago
9

A) If the line 2x + 3y -8=0 is perpendicular to the line kx-6y =9 find k.​

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0

Answer:

k = 9.

Step-by-step explanation:

2x + 3y -8=0

3y = -2x + 8

y = -2/3 x + 8/3

So the slope of this line is -2/3.

Therefore the slope of a line perpendicular to the above is -1 /-2/3

= 3/2.

kx - 6y = 9

6y = kx - 9

y = k/6x - 3/2

But the slope is 3/2,

So k/6 = 3/2

2k = 18

k = 9.

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Answer:

Rock D.

Step-by-step explanation:

We can assume that the force that the catapult does is always the same.

So, here we need to remember Newton's second law:

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So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.

So, we can rewrite:

a = F/m

So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.

Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.

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3 years ago
0.2(x + 1) + 0.5x = -0.3(x - 4)?
andreyandreev [35.5K]

Answer:

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Coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers co
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Answer:

The average temperature of coffee in the sample, which is 70.2.

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3 years ago
What is the reciprocal of 6/5? <br> A. 1 <br> B. 1 1/5 <br> C. 12/10 <br> D. 5/6
Sergio039 [100]
The reciprocal of 6/5 is D. 5/6

Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.

We need to get reciprocal of a fraction when division is performed.

For example: 2 ÷ 1/5

2 may be a whole number but in fraction form it is 2/1.

1st fraction = 2/1
2nd fraction = 1/5

In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.

1/5 ⇒ 5/1

Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
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8 0
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Read 2 more answers
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

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From the question we are told that

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Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
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