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raketka [301]
2 years ago
11

Which is the graph of y = 2 – square root of x?

Mathematics
1 answer:
kati45 [8]2 years ago
3 0

Using translation concepts, the graph of y = 2 - \sqrt{x} is described as follows:

On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function y = 2 - \sqrt{x}, in blue in the graph, is the function y = \sqrt{x}, in red, reflected over the x-axis and shifted 2 units, as shown in the graph.

Hence the correct statement is:

On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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5x - 4 = 10 improper fraction simpilest form
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x = 14/5

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ehidna [41]

Part A

<h3>Answers:</h3>

To find the area of the unshaded region, subtract the area of the <u>  shaded region  </u> from the sum of the areas of the <u>   rectangle   </u> and <u>   semicircle   </u>

----------------

Explanation:

When it comes to area problems, think of a grid of squares. Let's say we had a 10 by 10 grid of tiny squares (10*10 = 100 total). Now let's say 8 of them are shaded in. There are 100 - 8 = 92 unshaded squares to represent the total area of the unshaded region.

That's effectively what's going on with this problem as well. Sure things get a bit tricky with that curved portion on top, but we can still get an approximation if we use smaller and smaller grid sizes. I recommend using graph paper or graphing software that provides a grid.

========================================================

Part B

<h3>Answer:  811</h3>

----------------

Explanation:

For now, I'm going to ignore the shaded region. I'll come back to it later.

The rectangle is 15 ft by 50 ft. It has an area of length*width = 15*50 = 750 sq ft.

The semicircle up top has an area of 0.5*\pi r^2 = 0.5*\pi*(7.5)^2 \approx 88.3573  sq ft approximately. The 7.5 is from dividing the diameter in half to get the radius. As the instructions stated, I used the calculator's version of pi.

The rectangle and semicircle have their areas add to

750+88.3573 = 838.3573

Now we can finally address the shaded region. It is a 3 ft by 9 ft rectangle because "the length is 3 times the width" and the width is 3 ft. This shaded rectangle has area 3*9 = 27 sq ft.

The unshaded region is:

unshaded = total - shaded = 838.3573 - 27 = 811.3573

This rounds to the final answer of 811

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