Find The Value of X Given (x,2)

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In summary, the value of X is -4 when given the coordinates (x,2) and the radius of the circle is 5. This can be found by subtracting 5 from the x coordinate of the center of the circle, which gives a value of -4.
  • #1
LLS
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[SOLVED] Find The Value of X Given (x,2)...

Homework Statement


In the figure above, Lines AB and BC are radii of the circle with center B. What is the value of X? (see attached)

I am lost. I don't know how to begin to solve this problem.

<ABC is a right triangle. Does that factor into the equation?

It would appear that the answer has to be a negative number.
 

Attachments

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  • #2
Hint: find the radius of the circle.
 
  • #3
cristo said:
Hint: find the radius of the circle.
Would the radius be 5?

The answer is -5?
 
  • #4
LLS said:
Would the radius be 5?

The answer is -5?

No. You must subtract 5 from the x coordinate of the center of the circle...What does that give?
 
  • #5
nrqed said:
No. You must subtract 5 from the x coordinate of the center of the circle...What does that give?

That would be 1 - 5 = -4

(-4, 2)
 
  • #6
LLS said:
That would be 1 - 5 = -4

(-4, 2)

Yup!
 

What is the equation for finding the value of x given (x,2)?

The equation for finding the value of x given (x,2) is simply x=2. This is because the y-coordinate is given to be 2, indicating that the point lies on the x-axis, and therefore the value of x must be equal to the x-coordinate of the point.

Can the value of x be negative when given the point (x,2)?

Yes, the value of x can be negative when given the point (x,2). This is because the point (x,2) can lie on the negative x-axis, meaning the value of x would be a negative number.

How many solutions are possible when solving for x given the point (x,2)?

There is only one solution when solving for x given the point (x,2). This is because the point (x,2) only gives us one piece of information, the y-coordinate, which is 2. Therefore, there can only be one value of x that satisfies this equation.

Can the point (x,2) be used to find the slope of the line?

No, the point (x,2) cannot be used to find the slope of the line. This is because the slope of a line is determined by the change in y over the change in x, and the point (x,2) only gives us the y-coordinate, not the change in y.

How can the point (x,2) be used in a real-world scenario?

The point (x,2) can be used in a real-world scenario to represent a specific point on a graph or coordinate plane. For example, the point (3,2) could represent a specific location on a map or the coordinates of a building on a city grid. It can also be used in mathematical equations and to solve for unknown variables.

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