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3 years ago

Consider the line x+5y=6

Mathematics

1 answer:

Tems11 [23]3 years ago

6 0

Answer:

$x + 5y = 6$ is perpendicular to $y = 5x + \frac{6}{5}$ and parallel to $y = -\frac{1}{5}x + 2\\$

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> $y = -\frac{1}{5}x + \frac{6}{5}$

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

$-\frac{1}{5}$ is perpendicular to $-(\frac{-5}{1} )$ which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

$y = -\frac{1}{5}x + \frac{6}{5}\\$ is parallel to $y = -\frac{1}{5}x + 2\\$ just like $y = -\frac{1}{5}x - \frac{100}{23}$ .

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Sergio [31]

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Step-by-step explanation:

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$-2\frac{3}{4}\\\\-4\frac{1}{2}$

You need to convert them to decimal numbers. The steps to do this are shown below:

1. Divide the numerator of the fraction by the denominator.

2. Add the quotient obtained to the whole number part.

Then:

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Therefore, the point is:

$(-2.75,-4.5)$

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3 years ago

Solve for g. g/6 - -53 = 57

Mashcka [7]

Step-by-step explanation:

g/6 - -53 = 57

g/6 + 53 = 57

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3 years ago

Evaluate summation of negative quantity n minus 5 end quantity from n equals 2 to 8

nydimaria [60]

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∑n=1mn=m(m+1)2

 So what we get is =−(−1+8(8+1)2−7)=8−72/2=8−36=−28.

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

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