Please help me please
1 answer:
Answer:
(x + 5)² + (y + 8)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 5, - 8), so
(x - (-5))² + (y - (- 8))² = r², that is
(x + 5)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 8) and (x₂, y₂ ) = (2, - 8)
r = =
=
= 7
r = 7 ⇒ r² = 7² = 49
Hence
(x +5)² + (y + 8)² = 49 ← equation of circle
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Answer:
y = 1
Step-by-step explanation:
y is inversely proportion to x means that ,
y ∝ 1/x or ,
When we remove the proportionality sign we get,
now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,
so we insert these values and get the value of k.
now the equation becomes,
now we need to find y when x is 6 so just replace x with 6
so we get the value of y is 1