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horrorfan [7]
3 years ago
7

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

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1 glass of limonade costs $2


So the proportion between them (Orange) / (juice) = 3/2 or 3¹/₂
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What would normal body temperature be?
jenyasd209 [6]

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Step-by-step explanation:

7 0
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Which compound inequality has no solution? x > 2 and 3x ≤ 9 x > 1 and 2x ≤ –2 x > –1 and 4x ≥ –8 x > –2 and 5x ≥ 15
antoniya [11.8K]

Answer:

4x > -8

Step-by-step explanation:

8 0
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Without graphing is the system independent, dependent, or inconsistent?
rewona [7]
Y = -2 x - 9
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3 0
4 years ago
How do you check is the equation is a extraneous solution pr not?
vampirchik [111]

We can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.

<h3>What is the extraneous solution?</h3>

In mathematics, an extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem, such as the answer to an equation.

As we know from the definition the extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem.

Let's suppose the equation is:

\rm \sqrt{x+4} = x -2

Squaring both the sides:

x + 4 = (x - 2)²

x + 4 = x² - 4x + 4

x² -5x = 0

x = 0 or x = 5

Checking for the solution by plugging in the equation;

\rm \sqrt{5+4} = 5 -2

3 = 3

\rm \sqrt{0+4} = 0 -2

2 ≠ -2

The solution x = 0 shows extraneous solution.

Thus, we can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.

Learn more about the extraneous solution here:

brainly.com/question/14054707

#SPJ1

6 0
2 years ago
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