Answer:

Step-by-step explanation:




Answer:
y = x - 3
Step-by-step explanation:
From the table attached,
Scatter plot given in the graph is correct.
Let the equation of the line passing from a point (x', y') is,
y - y' = m(x - x')
m = slope
Slope of the line passing through two points
and
is given by,
m = 
Therefore, slope of the line passing through the points (11, 8) and (12, 9) will be,
m = 
Therefore, equation of the line passing through (11, 8) will be,
y - 8 = 1(x - 11)
y = x - 11 + 8
y = x - 3
Answer:
(x + 2)^2 + (y - 1)^2 = 2^2
Step-by-step explanation:
The equation of this circle is
(x + 2)^2 + (y - 1)^2 = r^2, and we are to determine the values of r^2 and r by substituting -4 for x and 1 for y:
(-4 + 2)^2 + (1 - 1)^2 = r^2, or:
(-2)^2 = r^2, or
4 = r^2
Then r = 2.
The desired equation is:
(x + 2)^2 + (y - 1)^2 = 2^2
Answer: (5+√2) and (3+√2)
Step-by-step explanation: Let (5+√2) and (3+√2) be two irrational numbers
Difference = (5+√2) - (3+√2)
Difference = 2
2 is a rational number