Answer:
Center: (-1,-3)
Radius: 4.12 units
Step-by-step explanation:
Hi there!
<u>1) Find the center of the circle</u>
When given two diameter endpoints, we can find the center of the circle by calculating for the midpoint since the center lies in the middle of the points:
Midpoint: 
where the two points are 
and 
Plug in the diameter endpoints (3,-2) and (-5,-4)
Therefore, the circle is centered at (-1,-3).
<u>2) Find the radius of the circle</u>
The radius of a circle is the distance between the outside edge and the center. We can find the radius by calculating for the distance between the center of the circle and one of the diameter endpoints.
Distance formula: 
where the two points are and
Plug in the center (-1,-3) and a diameter endpoint (3,-2)
Therefore, the radius of the circle is approximately 4.12 units when rounded to the nearest hundredth.
I hope this helps!
The percent of the area covered by the first sea is covered by the second is approximately 51.43%. To solve this, you simply divide the area of the first sea (70 million) by the area of the second (36 million). This looks like this: 36000000/70000000. To simplify, you use the ratio 36/70, which will get you the same answer.
Statement 1: 2AB = AC
Reason 1: Given
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Statement 2: AC = AB+BC
Reason 2: Segment addition postulate (which your teacher abbreviated to "Seg + Post")
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Statement 3: 2AB = AB+BC
Reason 3: Substitution
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Statement 4: 2AB-AB = AB+BC-AB
Reason 4: Subtraction Property of Equality
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Statement 5: AB = BC
Reason 5: Combine like terms
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Notes:
- The first reason is "given" since we just simply restate what the instructions provide. If you are given multiple items, you list each one at a time.
- The segment addition postulate is where we break a line into smaller parts and then build it back together.
- Substitution is simply replacement. We've replaced AC with 2AB.
- The subtraction property of equality is the idea where we subtract the same thing from both sides. In statement 4, we're subtracting AB from both sides.
- The last statement of any proof is always the thing we're trying to prove. Once we reach such a statement, there's no need to go any further since the proof has concluded.
15 x 1 = 1 ft
12 x 2.54 = 30.48
