Answer:
(x - 3)² + (y + 5)² = 10
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
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = 
= 
= 
= 
⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
I think Its B
Step-by-step explanation:
0.05x4.1 would be a correct answer I think
Answer:
y-intercept = (0, 
).
Step-by-step explanation:
Given the linear equation in standard form, 12x + 13y = 8:
We must transform this equation into slope-intercept form to make it easier to determine the coordinates of the y-intercept.
12x + 13y = 8
Subtract 12x from both sides:
12x + 13y - 12x = - 12x + 8
13y = - 12x + 8
Next, divide both sides of the equation by 13 to solve for y:
or 
Next, to determine the y-intercept, we must set x = 0 (because the y-intercept is the point where the graph of the linear equation crosses the y-axis).
Let x = 0:
Therefore, the value of y when x = 0 is . This is the y-intercept, and its coordinate is (0, ).
Answer: The prime numbers are 1, 2, 3, 5, 7.
