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Sphinxa [80]
3 years ago
15

Identify the center and radius of a circle with equation (x+4)^2+(y-2)^2=36

Mathematics
1 answer:
Kitty [74]3 years ago
3 0
In the equation of a circle in the form (x-h)^2 + (y-k)^2 = r^2, (h,k) is the center and r is the radius.

So, the center of the circle is at (-4,2) with radius 6 units.
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Use the given Maclaurin series to evaluate the limit
nekit [7.7K]

The "given series" should be for \cos(x), not x, so that

\cos(x) = 1 - \dfrac{x^2}2 + \dfrac{x^4}{24} - \dfrac{x^6}{720} + \cdots

In the limit (which should say x\to\infty, not n), we have

\displaystyle \lim_{x\to\infty} \frac{\frac{x^2}{1+\cos(x)}}{x^4} = \lim_{x\to\infty} \frac{1}{x^2\left(2 - \frac{x^2}2 + \frac{x^4}{24} - \cdots\right)} = \boxed{0}

7 0
2 years ago
I need help with both a and b please
Anika [276]
A.
2.718... between 2 and 3
2 = √4 and 3 = √9
So, 2.718... between √4 and √9        [√4 < e < √9]


b.
π = 3.1415...
3.1415... between 3 and 4
3 = √9 and 4 = √16
So, 3.1415... between √9 and √16       [√4 < π < √9]
6 0
3 years ago
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as
const2013 [10]
<h2>Answer:</h2>

a. True.

b. False.

c. True.

d. True.

e. True.

<h2>Step-by-step explanation:</h2>

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.

<h3>Hope this helps! </h3>

8 0
3 years ago
*image is attached above*
aev [14]

Answer:

a = 16

Step-by-step explanation:

The altitude YB is at right angles to the base XZ , then

∠ YBZ = 90° , so

6a - 6 = 90 ( add 6 to both sides )

6a = 96 ( divide both sides by 6 )

a = 16

3 0
3 years ago
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.
alexandr402 [8]
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2 years ago
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