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3 years ago

What is the answer for:

Mathematics

1 answer:

Blababa [14]3 years ago

4 0

Answer: $6n + 3$

Step-by-step explanation:

Since, Here the smaller number = 2n - 1

Since, Numbers are consecutive.

Therefore, remaining numbers are 2n - 1 + 2 , 2n - 1 + 2 + 2

= 2n +1, 2n +3

Thus, the sum of these all numbers = 2n - 1 + 2n + 1 + 2n +3

= $6 n +3$ ( By equating the like terms)

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What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x

Diano4ka-milaya [45]

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 1/6 and the point (6, -2)

$y-\left(-2\right)=\frac{1}{6}\left(x-6\right)$

$y+2=\frac{1}{6}\left(x-6\right)$

subtract 2 from both sides

$y+2-2=\frac{1}{6}\left(x-6\right)-2$

$y=\frac{1}{6}x-3$

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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I M
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