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vodomira [7]
3 years ago
10

Angle C is inscribed in circle O.

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

The radius of circle O is 8.5 Units

Step-by-step explanation:

Solution

The radius of a circle is refereed to as the  half of the diameter.

Now,

On how to figure out the length of AB, we apply the  Pythagorean's equation or formula which is given below

Thus,

a² + b² = c²

(15)² + (8)² = c²

225 + 64 = c²

√289 = √c²

Then

c = 17

What this shows is that  AB is 17 units.

Since we have gotten the diameter, the next step is to divide into half the know the radius value

Therefore,

17 ÷ 2 = 8.5 Units

= 8.5 Units.

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Graph Transformations

There are many times when you’ll know very well what the graph of a

particular function looks like, and you’ll want to know what the graph of a

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Transformations “after” the original function

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graph of f(x) + d.

As an explanation for what’s written above: If (a, b) is a point in the graph

of f(x), then that means f(a) = b. Hence, f(a) + d = b + d, which is to say

that (a, b + d) is a point in the graph of f(x) + d.

The chart on the next page describes how to use the graph of f(x) to create

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(a, b) is a point in the graph of f(x).

Notice that all of the “new functions” in the chart di↵er from f(x) by some

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example, first you put x into the function, then f(x) is what comes out. The

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its job, all of the changes to points in the second column of the chart occur

in the second coordinate. Thus, all the changes in the graphs occur in the

vertical measurements of the graph.

New How points in graph of f(x) visual e↵ect

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f(x) + d (a, b) 7! (a, b + d) shift up by d

f(x) Transformations before and after the original function

As long as there is only one type of operation involved “inside the function”

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Examples.

• Let’s look at the function • The graph of 2g(3x) is obtained from the graph of g(x) by shrinking

the horizontal coordinate by 1

3, and stretching the vertical coordinate by 2.

(You’d get the same answer here if you reversed the order of the transfor-

mations and stretched vertically by 2 before shrinking horizontally by 1

3. The

order isn’t important.)

74

7:—

(x) 4,

7c’

‘I

II

‘I’

-I

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