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3 years ago

What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16

Mathematics

1 answer:

murzikaleks [220]3 years ago

4 0

Answer:

Step-by-step explanation:

if center=(h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

given eq. is (x-5)^2+(y+2)^2=16=4^2

comparing

center =(5,-2)

radius r=4

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Can anyone help me with this

stiv31 [10]

Answer:

Step-by-step explanation:

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2 years ago

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3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l

sergeinik [125]

Answer: 3. The correct option is: A) 3.57 decibels.

6. The correct option is: B) $ln(\frac{x^2}{c^5})$ 

Step-by-step explanation:

3. Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So, $I_{0}= 100$ and $I= 44$

Using the formula $L= 10log(\frac{I}{I_{0}})$ , we will get.....

$L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57$

(Rounded to the nearest hundredth)

So, the loudness would be reduced by 3.57 decibels.

6. Given expression is: $2ln(x) - 5ln(c)$

First applying the property $m*log(x)= log(x^m)$ , we will get.....

$ln(x^2)-ln(c^5)$

Now using the formula, $log(a)-log(b)= log(\frac{a}{b})$ , we will get....

$ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})$

Thus, the answer as a single natural logarithm is $ln(\frac{x^2}{c^5})$

8 0

3 years ago

Need help on this asap

Ganezh [65]

(-5)(10)= 50 degrees

Brainliest?

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3 years ago

The volume of a spherical ball is 4500 cubic centimeters. Find the radius of the ball

babunello [35]

Answer:

$r^{3}=4050$

r = ∛4050

Step-by-step explanation:

$V=\frac{4}{3} \pi r^{3}$

$5400=\frac{4}{3} \pi r^{3}$

$r^{3}=3(\frac{5400}{4} )$

$r^{3}=3(1350 )$

$r^{3}=4050$

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2 years ago

Explain how you would round the numbers 33 and 89 estimate their sum

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So 33 rounds to 30, because 3 is less than 5. 89 rounds to 90, because 9 is greater that 5.

then do this:

30
+90
____
120

120 is your answer! I hope I helped you!

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2 years ago

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