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lubasha [3.4K]
2 years ago
9

I need help with number three and please explain how to solve it.

Mathematics
1 answer:
Hitman42 [59]2 years ago
4 0

Answer:

y=-2x+2

slope-intercept form --> y=mx+b

m= slope. the slope in the graph is down 2 over 1, -2/1 which is the same as -2.

b = <u>y-intercept</u><u>. </u><u> </u><u>the </u><u>y-intercept</u><u> </u><u>is </u><u>2</u><u>.</u>

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Approximate pi plus the square root of 70 to the nearest hundredth.
stich3 [128]

Answer:

  11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

  π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

  π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

  √n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

  r' = a +b/(a +r)

For √70, we have 70 = 8² +6   ⇒   a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

  r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

  r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

  3.1416 +8.3664 = 11.5080 ≈ 11.51

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Leave a like and mark brainliest if this helped

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