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DedPeter [7]
1 year ago
5

X2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is

Mathematics
1 answer:
erastova [34]1 year ago
7 0

The Standard form of the equation of circle is (x+21)² + (y+19)² = 849

<h3>What is Standard form of circle?</h3>

To transform general form to a standard form, you can use completing the square method or you can convert this equation

x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

Here, Given: x² + y² + 42x + 38y − 47 = 0

Required: Find the values of h, k, and r using this formula

x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

On comparing we get,

-2h = 42

  h = 21

-2k = 38

 k = 19

-47 = h² + k² - r²

-47 = 21² + 19² - r²

   r² = 849

  r = √849

Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849

Learn more about Circle from:

brainly.com/question/11833983

#SPJ1

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Answer: x = 6.8

or x = 102/15

Step-by-step explanation:

30x=204

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simplify!

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3 years ago
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3 years ago
Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance
zzz [600]

Answer:

\frac{\Delta v}{v}=0.426

Step-by-step explanation:

you have that the average sped is given by the following formula:

v(x,t)=\frac{x}{t}

The uncertainty formula for a division is given by:

\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}        (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

\frac{\Delta v}{v}=\sqrt{(\frac{0.9}{8.1})^2+(\frac{0.7}{1.7})^2}\\\\\frac{\Delta v}{v}=0.426

Hence, the relation between the uncertainty in the average velocity is 0.426

4 0
3 years ago
The heights of some students are given 158cm 171cm 164cm 164cm 167cm 159cm what is the range of the heights?
bogdanovich [222]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Please explain.
DENIUS [597]
If you want to solve this i suggest rather dividing or multiplying.
4 0
3 years ago
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