I need help with the equation.
2 answers:
Answer:
(x - 3)² + (y + 9)² = 25
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
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r = = 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
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• Parallel lines have equal slopes
• The product of perpendicular slopes = - 1
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x + 3 is in this form
with slope m =
rearrange 20x + 12y = 12 into this form
subtract 20x from both sides
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y = - + 1 ← in slope-intercept form
with slope m = -
Neither of the conditions for parallel/ perpendicular slopes are met
Hence the lines are neither parallel/ perpendicular