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1 answer:
Answer:
See picture attached
Step-by-step explanation:
The graph of a non-proportional linear relationship is a line that does not cross through the origin. The graph of a proportional linear relationship does.
Given the general expression of a line: y = ax + b, where a and b are constants, if b is equal to zero, the line cross through the origin, otherwise the line inercept y-axis at value of b.
Direct variation means that y = kx, where k is a constant, then is a proportional linear relationship.
Given a cell phone company charges $19.95 per month for the first 2G, then $5 per gig over the initial 2G; the graph is a non-proportional linear relationship because the cost is never zero and the graph does not cross through the origin.
Given a cell phone company charges $29.95 per month always, then the cost is never zero and the graph does not cross through the origin.
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Answer:
centre (5, 6 ) , r =
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 the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r =