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3 years ago

OP = ? A)3 B) 3.5 C) 4

Mathematics

2 answers:

Monica [59]3 years ago

8 0

Answer:

C. 4

Step-by-step explanation:

We have been given an image of two circles one inscribed inside the other. We are asked to find the length of segment OP.

Upon looking at our given diagram we can see that OP is the radius of smaller circle. We can also see that length of radius of circle P is 4.

Since the radii of a circle are congruent, therefore, the length of OP is 4 units and option C is the correct choice.

Aleksandr [31]3 years ago

6 0

OP = 4 because its a radius of the smaller circle which has a radius of 4 and all radii of the same circle are the same length.

C) 4

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3 years ago

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sergeinik [125]

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31. 1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

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Step-by-step explanation:

Some transformations for a function f(x) are shown below:

- If $f(x)+k$ , the function is shifted up "k" units.

- If $f(x)-k$ , the function is shifted down "k" units.

- If $f(x+k)$ , the function is shifted left "k" units.

- If $f(x-k)$ , the function is shifted right "k" units.

- If $-f(x)$ , the function is reflected over the x-axis.

- If $bf(x)$ and $b>1$ , the function is stretched vertically by a factor of "b".

31. Given the function $f(x)=x^{2}$ and the function $g(x) = 3(x - 1)^2 + 4$ , we can notice that the transformations from the graph of f(x) to the graph of g(x) are:

1) $f(x)+k$

2) $f(x-k)$

3) $bf(x)$ , being $b>1$

Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:

1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

3) Vertical stretch by a factor of 3.

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$f(x)=x^{2}$

And given the transformations:

1) Reflection over the x-axis.

2) Horizontal shift left 3 units.

3) Vertical shift up 7 units.

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