Question

PLS HELP! WILL GIVE BRAINLIEST

Answer 1

Answer:

• The center (2, 2.5), radius $\sqrt{37}$ / 2

Step-by-step explanation:

The standard form of the equation of a circle is:

• ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

Rewrite the given equation in the standard form:

• 2x^2 + 2y^2 - 8x + 10y + 2 = 0
• x^2 - 4x + y^2 + 5y = -1
• x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
• (x - 2)^2 + (y + 2.5)^2 = 37/4

The center is:

• (2, 2.5)

And radius is:

• $\sqrt{37}$ / 2