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:
the answer is y - 8
Step-by-step explanation:
just makes sense
Answer:
d = 9√2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Gradient of a line is the same as slope of the line. Slope is defined as the ratio of the rate of change in the y(vertical) axis to the rate of change in the x(horizontal) axis.
Slope = (y2 - y1)/(x2 - x1)
Slope is denoted by m. Therefore,
For line A,
y1 = - 1
y2 = 3
x1 = 2
x2 = 3
Slope, m = (3 - - 1)/((3 - 2) = 4/1 = 4
For line B,
y1 = 5
y2 = 1
x1 = - 2
x2 = 0
Slope, m = (1 - 5)/((0 - - 2) = - 4/2 = - 2
