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balandron [24]
2 years ago
13

Question 5 (12 points)

Mathematics
2 answers:
Dima020 [189]2 years ago
4 0

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

    let (2, 1) = (x_2, y_2)

 \implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}

b)  let (-1, 3) = (x_1,y_1)

    let (4, 1) = (x_2, y_2)

\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}

c)  let (-1, 3) = (x_1,y_1)

    let (3, 3) = (x_2, y_2)

\implies \sqrt{(3+1)^2+(3-3)^2} =4

Anna11 [10]2 years ago
4 0

Compare with (x-h)^2+(y-k)^2=r^2

  • Centre=(h,k)=(-1,3)
  • r=4

Distance to (2,1)

  • √(2+1)^2+(1-3)^2=√13

Distance to (4,1)

  • √(4+1)^2+(1-3)^2=√29

Distance to (3,3)

  • √(3+1)^2+(3-3)^2=4

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