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kompoz [17]
3 years ago
7

Find the length of AC. (Need help asap)

Mathematics
1 answer:
Ivan3 years ago
3 0

Hi

AB is a  diameter  so  radius of circle  is  24/2 = 12

Now  AC =  2π *12 * (150/360) ≈ 31.42

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What are the points of discontinutity y=(x-3)/x^2-12x+27
madreJ [45]

Answer:

(3, -\frac{1}{6})

Step-by-step explanation:

We can rewrite the equation as

y = \frac{x - 3}{(x - 3)(x - 9)}

Notice that we have x - 3 in both the numerator and the denominator, so it looks like we can divide it out. However, what if x - 3 is 0? Then we would have y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for x = 3, but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at x = 3. In the simplified version of the function, if we plug in x = 3, we get

y = \frac{1}{((3) - 9)} = -\frac{1}{6}

So the point (3, -\frac{1}{6}) is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at x = 9 (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of x

5 0
3 years ago
Read 2 more answers
What is the final amount if 1548 is increased by 5% followed by a further 6% increase?
stiv31 [10]

Answer:

1,718.28

Step-by-step explanation:

1,548, percentage increased by 11% (percent) of its value = 1,718.28

3 0
3 years ago
I have a series of 2 questions.
Margarita [4]
1)
I:y=3x-4
II:9x-3y=14


substitute y into II:
9x-3*(3x-4)=14
9x-9x+12=14
12=14

this is obviously not equal so there is no solution, the lines are parallel

2)
I:y=4x+6
II:5x-y=6

substitute y into II:
5x-(4x+6)=6
5x-4x-6=6
x=12
substiute x into II:
5*12-y=6
-y=6-60
-y=-54
y=54

the solution is (12,54)
3 0
3 years ago
What is the inverse of the given function? y = 7x2 -­ 3. A. B. C. D.
Sergeeva-Olga [200]
Y = 7x^2-3

x=7y^2-3


.......................


8 0
3 years ago
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First anserw gets brainest 8th grade, root squared question
Katen [24]

Answer:

±11

11*11=121

-11*-11=121

4 0
3 years ago
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