What is the diameter of the following?

Mathematics

1 answer:

Tamiku [17]2 years ago

4 0

Answer:

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

(x - 9)² + (y - 4)² = 36 ← is in standard form

with r² = 36 ⇒ r = $\sqrt{36}$ = 6

diameter = 2 × r = 2 × 6 = 12

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Place Brunhilda at (0,0) which is the location of the intersection of the x and y axis. I'm going to label this point A.

Move 3 units to the right to arrive at point B = (3,0). Then move 2 units up to arrive at point C = (3,2). The next step is to walk 5 units to the left and you get to point D = (-2,2). Finally, we move 2 units south to get to the point E = (-2,0)

When we talk about displacement, we only care about starting and ending points. The stuff in between doesn't matter. We start at (0,0) and end at (-2,0). So the displacement is 2 units to the right or "2 meters west"

Answer: Choice C) 2 m west

Check out the attached image to see a visual of what is going on.

Edit: I mistakenly thought she started at point A. instead she starts at point B. So the answer is actually 5 meters west.