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Mathematics

1 answer:

Alexxandr [17]2 years ago

4 0

<h3>Determining the solution.</h3>

The solution(s) for the provided graph are (0, 6) and (6, 0)

<h3>What is a solution of a graph?</h3>

The solution of the system of equations is the intersection of the two equations.

<h3>Reasoning.</h3>

In the image provided, we can see two solutions (intersection points) that are intersected by a line and a circle.

Those two solutions are:

(0, 6) and (6, 0)

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A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters

jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000 (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

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1 year ago

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is

nikdorinn [45]

Not sure on the number listed as median ? 27.227.2? Please clarify.

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3 years ago

Rewrite! Write an new and equivalent equation that is easier to solve

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