The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have an equation that represents the circle:
4x² + 8x + 4y² + 32y +52 = 0
Divide by 4 on both the sides:
x² + 2x + y² + 8y + 13 = 0
x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0
x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13
(x + 1)² + (y + 4)² = 4
(x + 1)² + (y + 4)² = 2²
Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²
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Answer:
This problem is acually really simple.
Step-by-step explanation:
all you have to do is replace the a with a 3. SO It would look like this:
g(x)=3f(x)
hope this helps :)
Answer:
6.9
Step-by-step explanation:



Answer:
3/4 and 1/6 are already reduced the farthest they can go.
Answer:
a

b

c
With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a
and that
the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b
Step-by-step explanation:
From the question we are told that
The sample size is 
The number that complained about dirty or ill-equipped bathrooms is 
The number that complained about loud or distracting diners at other tables is 
Given that the the confidence level is 95% then the level of significance is mathematically represented as


Next we obtain the critical value of
from the normal distribution table , the value is

Considering question a
The sample proportion is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as



The 95% confidence interval is



Considering question b
The sample proportion is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as



The 95% confidence interval is


