What is the diameter of the circle ?
1 answer:
Answer:
The answer to your question is diameter =
Step-by-step explanation:
2x² + 2y² - 20x - 20y - 22 = 0
Solution
2x² - 20x + 2y² - 20y = 22
2(x² - 10x ) + 2(y² - 10y ) = 22
Complete perfect square trinomials
2(x² - 10x + 5²) + 2(y² - 10y + 5²) = 22 + 50 + 50
Factorize
2(x - 5)² + 2(y - 5)² = 122
(x - 5)² + (y - 5)² = 61
radius =
diameter = 2r
diameter = 2
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Answer:
Step-by-step explanation:
Given rule for the multiple translations is,
Apply the rule first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,
(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
