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2 years ago

line k has a slop of -5. Line J is perpendicular to line K and passes through the point (5,9). Create the equation for line j.

Mathematics

1 answer:

sveticcg [70]2 years ago

6 0

Answer:

The equation of the line would be y = 1/5x + 8

Step-by-step explanation:

Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.

Now we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 9 = 1/5(x - 5)

y - 9 = 1/5x - 1

y = 1/5x + 8

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1 year ago

Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions were to use 34.5 inche

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Answer:

$The\ number\ of\ 8 \frac{1}{4}\ inches\ of\ section\ of\ rope\ be\ 6.$

Step-by-step explanation:

As given

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As 1 foot = 12 inches

Now convert 7 feet into inches.

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As given

The instructions were to use 34.5 inches of the rope to tie a tarp on top of the tent.

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$The\ remaining\ rope\ should\ be\ cut\ into\ 8 \frac{1}{4}\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.$

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$The\ remaining\ rope\ should\ be\ cut\ into\ \frac{33}{4}\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.$

$Let\ us\ assume\ the\ number\ of\ \frac{33}{4}\ inches\ section\ of\ rope\ be\ x.$

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