4 years ago

On the photo /picture

Mathematics

1 answer:

asambeis [7]4 years ago

6 0

We need to compute the diagonal of yhe square.

d²=7²+7²=49×2cm²

d=7×sqrt(2)=7×1.41=9.87cm.

The diagonal we just computed is the diameter of the circle that contains the square.

Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.

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F(x)= <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%207%7D%7B10%7D%20" id="TexFormula1" title=" \frac{4x - 7}{10} "

Naily [24]

Answer:

To find f-¹(x) of f(x) equate f(x) to y

That's

f(x) = y

So we have

$y = \frac{4x - 7}{10}$

Next interchange the variables that's x becomes y and y becomes x

That's

$x = \frac{4y - 7}{10}$

Next make y the subject

Cross multiply

We have

4y - 7 = 10x

Move -7 to the right side of the equation

4y = 10x + 7

Divide both sides by 4

We have the final answer as

$y = \frac{10x + 7}{4}$

$f ^{ - 1} (x) = \frac{10x + 7}{4}$

Hope this helps you

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