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snow_tiger [21]
3 years ago
13

Calculate the area of the given circle.

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

63.59 (c)

Step-by-step explanation:

Formula: πr^{2}

Plug in data:

9cm is diameter and a radius is half a diameter so the radius is 4.5cm.

π x 4.5^2 = 63.59cm^2

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Distance between (-5, -5) And (-9, -2)
Sergeeva-Olga [200]
d =  \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}  \\ d =  \sqrt{(-9 - (-5))^2+(-2 - (-5))^2}  \\ d =  \sqrt{(-4)^2+(3)^2}  \\ d =  \sqrt{16 + 9}  \\ d =  \sqrt{25} = 5
5 0
3 years ago
Simplify –2x3y × xy 2.
user100 [1]

-2x^3y\cdot xy^2=-2x^{3+1}y^{1+2}=-2x^4y^3

Used:

a^n\cdot a^m=a^{n+m}

Answer: C. –2x^4y^3

8 0
2 years ago
Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
lorasvet [3.4K]

Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

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

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0
1 year ago
How do you complete this One-Step equation?<br>5 1/2 + p = 6
dalvyx [7]

5 1/2 + p = 6

subtract 5 /12 from each side

5 1/2  - 5 1/2+ p = 6 - 5 1/2

p = 6 - 5 1/2

borrow from the 6

p = 5 2/2 - 5 1/2

p = 1/2

8 0
2 years ago
Read 2 more answers
A) -3 · x = -21<br><br> b) -7x + 16 = 2x - 20<br> help pls
NeTakaya

Answer:4

Step-by-step explanation:

B) -7x-2x= -20-16

    -9x= -36

      X= -36 /-9

      X= 4

7 0
3 years ago
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