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2 years ago

If a linear function contains the pairs (5,7) and (9,11), which pairs should have the reciprocal function to this one?

Mathematics

1 answer:

OLga [1]2 years ago

8 0

The new coordinates will be ( 7,5) and (11,9) , Option A is the correct answer.

<h3>What is a Reciprocal Function ?</h3>

The reciprocal function is the inverse of the function, such that 1/ f(x) is the reciprocal of f(x).

The given linear function has pairs of points

(5,7) and (9,11)

The reciprocal of this will be

interchanging of the coordinates

Therefore the new coordinates will be

( 7,5) and (11,9)

Option A is the correct answer.

To know more about Reciprocal Function

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Answer and explanation:

To find : Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.

Solution :

The area of the square is given by,

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We know, $1 \text{ hectare}=10,000\ m^2$

1) The area of square plot is 7 hectare.

Area in meter square is $A=7\times 10000=70000\ m^2$

Substitute the value in the formula,

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$\sqrt{70000}=s$

$264.57=s$

Side nearest to 1/10th meter is 264.8 meter.

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Area in meter square is $A=12\times 10000=120000\ m^2$

Substitute the value in the formula,

$120000=s^2$

$\sqrt{120000}=s$

$346.41=s$

Side nearest to 1/10th meter is 346.4 meter.

3) The area of square plot is 30 hectare.

Area in meter square is $A=30\times 10000=300000\ m^2$

Substitute the value in the formula,

$300000=s^2$

$\sqrt{300000}=s$

$547.72=s$

Side nearest to 1/10th meter is 547.7 meter.

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