28) Rational number
29) Rational number and integers
30) Irrational number
31) Irrational number
32) Rational number, integers, whole numbers, natural numbers
33) Irrational number
34) Rational number
35) Irrational number
I could only answer questions 28-35. Sorry I couldn't answer questions 36-38.
Answer:
(i) Center = (-1, -2)
(ii) Radius = 5 units
General Circle Equation:
<u>Where</u>:
- (h, k) is the center points
<u>Rewriting the equation</u>:
<u>Identify the following</u>:
- (h, k) = (-1, -2), radius = 5 units
The point slope formula is y - y1 = m(x - x1)
the value x1 is the x coordinate of a point
the value y1 is the y coordinate of a point
the value m is the slope, which is 3
therefore, x1 = -2 & y1 = 1
Then, all you do is plug in the points:
y - 1 = 3(x + 2)
NOTE: It is 3(x + 2) instead of 3(x - 2) because the formula is (x - x1). If you plug x1 in, it is (x - (-2)). 2 negatives cancel out to be a positive, so it is (x + 2)
The solutions are where the two lines cross over each other.
(0,3) and (4,-5)