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What is the radius of x2 plus y2 - 10x plus 4y - 52 equals 0?

Updated: 9/20/2023

Wiki User

∙ 12y ago

Best Answer

Complete the squares:

x2 - 10x + 25 + y2 + 4y + 4 - 52 = 25 + 4 = 29

x2 - 10x + 25 + y2 + 4y + 4 = 52 + 29 = 81

So the radius is sqrt(81) = 9

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∙ 12y ago

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What i the starting point of 4y plus 10x equals 16?

If: 4y+10x = 16Then: 4y = -10x+16And: y = -2.5x+4

What is 10x plus 3y minus 4x minus 7y equals?

6x - 4y

10x plus 2y plus 8z-5x plus 4z-4y equals?

10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z

Simlify 10x-3y plus 2x-4y?

10x - 3y + 2x - 4y =(10x + 2x) + (-3y - 4y) =12x - 7y

What does 3x plus 11xy plus 4y plus 7x equal?

10x+4y+11xy

Related questions

What i the starting point of 4y plus 10x equals 16?

If: 4y+10x = 16Then: 4y = -10x+16And: y = -2.5x+4

How do you find the radius of the circle with the given equation of x2 plus y2-10x plus 4y plus 4 equals 0?

Given: x2 + y2 - 10x + 4y + 4 = 0 First, we'll move our constants to the right: x2 + y2 - 10x + 4y = -4 Then group terms with the same variables together: x2 - 10x + y2 + 4y = -4 Then complete the squares: x2 - 10x + 25 + y2 + 4y + 4 = -4 + 25 + 4 (x - 5)2 + (y + 2)2 = 25 And there we have it. This is an equation for a circle whose center point is at (5, -2), with a radius of √25, which equals 5.

What is 10x plus 3y minus 4x minus 7y equals?

6x - 4y

10x plus 2y plus 8z-5x plus 4z-4y equals?

10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z

X 2 plus y 2 - 10x plus 4y - 52 equals 0?

x2 + y2 - 10x + 4y - 52 = 0 x2 - 10x + y2 + 4y = 52 Complete the square (x2 - 10x + 25) + (y2 + 4y + 4) = 52 + 25 + 4 (x - 5)2 + (y + 2)2 = 81 (x - 5)2 + (y - -2)2 = 92 This is the equation of a circle with center (5, -2), and radius 9.

Simlify 10x-3y plus 2x-4y?

10x - 3y + 2x - 4y =(10x + 2x) + (-3y - 4y) =12x - 7y

What is the graph of 6x-6y equals -48 and -10x plus 4y equals 92?

Two straight lines that intersect.

What does 3x plus 11xy plus 4y plus 7x equal?

10x+4y+11xy

10x - 3y plus 2x - 4y?

10x+2x-3y-4y=12x-7y

What does 10x plus 4y equal?

That depends on the numerical values of 'x' and 'y'. When either of them changes, the value of (10x + 4y) changes.

How do you write 8x plus 4y equals 5?

8x plus 4y equals 5 is 8x + 4y = 5.

How do you solve 4y plus x equals 8?

How do you solve 4y plus x equals 8

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