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2 years ago

X^2 + y^2 - 6x + 8y = 144

Mathematics

1 answer:

Shtirlitz [24]2 years ago

8 0

The diameter of the equation of a circle in the xy-plane as shown is 26 units.

The standard form for finding the equation of a circle is expressed as:

$x^2 + y^2 +2gx + 2fy +C= 0$

For us to get the diameter of the circle, we need to get the radius of the circle first calculated as shown:

$r=\sqrt{g^2+f^2-C}$

Given the equation of the circle expressed as $x^2 + y^2 - 6x + 8y = 144$

Compare with the general formula:

2gx = -6x

g = -6/2

g = -3

Similarly;

2fy = 8y

2f = 8

f = 4

C = -144

Substitute into the formula for calculating the radius;

$r=\sqrt{(-3}^2+4^2-(-144)\\r=\sqrt{9+16+144}\\r=\sqrt{169}\\r=13units$

Get the diameter of the circle

d = 2r

d = 2(13)

d = 26 units

Hence the diameter of the equation of a circle in the xy-plane as shown is 26 units.

Learn more here: brainly.com/question/12908710

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Answer:

11 years

Step-by-step explanation:

2 years that you were in 2011

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also meaning they were born in 2009

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2 years ago

Read 2 more answers

I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil

Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: number of child bikes.

Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

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4 0

1 year ago

Just question 7 thanks

ad-work [718]

Let x be the number of boys, the number of girls will be 200-x

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Number of girls with blue eyes (200-x)/4
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Reduce to same denominator & solve for x
(4x + 600 - 3x)/12 = 681/12
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2 years ago

a recent study determined that of every 1,000 americans age 65 or older, 269 have been diagnosed with diabetes. it is estimated

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14,795,000 people out of 55,000,000

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3 years ago

2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probabili

Fed [463]

Answer:

The value is $P( X < 7 ) =0.26226$

The value is $P( X < 7 ) = 0.00073$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 7.7 lbs$

The standard deviation is $\sigma = 1.1 \ lbs$

The sample size is n = 25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

$P( X < 7 ) = P( \frac{X - \mu }{\sigma} < \frac{7 - 7.7 }{1.1 } )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

=> $P( X < 7 ) = P(Z$

From the z table the area under the normal curve to the left corresponding to -0.6364 is

$P(Z$

=> $P( X < 7 ) =0.26226$

Generally the standard error of mean is mathematically represented as

$\sigma_{x} = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 1.1 }{\sqrt{25} }$

=> $\sigma_{x} = 0.22$

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

$P( \= X < 7 ) = P( \frac{\= X - \mu }{\sigma_{x}} < \frac{7 - 7.7 }{ 0.22 } )$

=> $P( X < 7 ) = P(Z$

From the z table the area under the normal curve to the left corresponding to -3.1818 is

=> $P(Z$

=> $P( X < 7 ) = 0.00073$

4 0

2 years ago