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What is the radius of a circle with the equation x2 y2 plus14x minus 10y equals 250?
Wiki User
∙ 8y ago
If you mean: x²+y²+14x-10y = 250 then:
A circle with centre (x0, y0) and radius r has formula (x - x0)² + (y - y0)² = r²
x² + y² + 14x - 10y = 250
→ x² + (2×7)x + y² + (2×5)y = 250
→ x² + (2×7)x + 7² - 7² + y² - (2×5)y + 5² - 5² = 250
→ (x + 7)² - 49 + (y - 5)² - 25 = 250
→ (x + 7)² + (y - 5)² = 324
→ (x - -7)² + (y - 5)² = 18²
→ The radius of the circle is 18 and its centre is at (-7, 5).
Wiki User
∙ 8y ago
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