Determine if f(x, y) = 10 − x^2 − y^2
1 answer:
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Answer:
387
Step-by-step explanation:
Formula:
For this case we have that the point-slope equation of a line is given by:
Where:
m: It is the slope of the line
It is a point through which the line passes
In this case we have to:
Substituting in the equation we have:
Answer:
We just need to replace the value of the slope
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