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Answer:
(x - 10)² + (y + 9)² = 20
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
The radius is the distance from the centre to a point on the circle
To calculate r use the distance formula
r = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)
r =
= =
, hence
(x - 10)² + (y - (- 9))² = ()², that is
(x - 10)² + (y + 9)² = 20
Answer:
x = 27
Step-by-step explanation:
ΔBRD and ΔQCD are similar, hence the ratios of corresponding sides are equal, that is
=
note that BD = 26 + 39 = 65
substitute values into the ratio equation
=
( cross- multiply )
65x = 39(x + 18)
65x = 39x + 702 ( subtract 39x from both sides )
26x = 702 ( divide both sides by 26 )
x = 27