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What is
x^2 +4x+4+y^2-6y+9=100
In standard form?

2 Answers

6 votes

Answer:

In standard form, the equation is:

x^2 + 4x + y^2 - 6y - 87 = 0

Step-by-step explanation:

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User Juan David Arce
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5 votes

Final answer:

The standard form of the equation is (x+2)^2 + (y-3)^2 = 100, representing a circle with a radius of 10 units centered at (-2, 3).

Step-by-step explanation:

The equation x^2 + 4x + 4 + y^2 - 6y + 9 = 100 is not in standard form. To convert it to standard form, we need to isolate the (x^2 + 4x + 4) and (y^2 - 6y + 9) terms which are both perfect squares. By factoring these, we get (x+2)^2 and (y-3)^2, respectively. Thus, the equation in standard form will be (x+2)^2 + (y-3)^2 = 100. This represents a circle with a radius of 10 units centered at (-2, 3) in the coordinate plane.

User Sheina
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