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Montano1993 [528]

3 years ago

7

What is the equation of a line that passes through point R(3,7) and has a slope of 6?

1 answer:

djyliett [7]3 years ago

4 0

The answer in slope intercept form is y = 6x-11

If you want the answer in standard form, then it would be 6x-y =11

notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
=====================================

Explanation:

The given slope is m = 6
The line goes through (x,y) = (3,7)

Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11

So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11

The answer in slope intercept form is y = 6x-11

To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side

y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11

The answer in standard form is
6x-y = 11
which is a different way to write the same line

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A palindrome is a string whose reversal is identical to the string. How many bit strings of length n are palindromes?

alisha [4.7K]

Answer:

The number of palindromes is

$2^{\frac{n}{2} }$ when n is even and

$2^{\frac{n +1}{2} }$ when n is odd

Step-by-step explanation:

From the question we are told that

The length of the string is $n$

Generally palindrome is evaluated by considering the first part of a string

When the the length of the string is an even number then

it means that the first part of the string is $\frac{n}{2}$

Hence the number of bit strings of length n that are palindromes is evaluated as

$p(n_{even }) = 2^{\frac{n}{2} }$

But When the the length of the string is an odd number then

it means that the first part of the string is $\frac{n-1}{2}$

Hence the number of bit strings of length n that are palindromes is evaluated as

$p(n_{odd }) =2^{\frac{n -1}{2} +1 } = 2^{\frac{n +1}{2} }$

Generally each bit could be either 0 or 1

Hence the number of palindromes is

$2^{\frac{n}{2} }$ when n is even and

$2^{\frac{n +1}{2} }$ when n is odd

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4 years ago

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denis-greek [22]

Answer:

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Step-by-step explanation:

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=1/n^10 / n^2

=(1/n^10) *(1/n^2)

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Answer:

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Step-by-step explanation:

Hope this helps! Have a great day ahead. Tell me if im wrong :)

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Savatey [412]

using the formula:

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add 6 to each side

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which is the same as:

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Answer:

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Step-by-step explanation:

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