Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.
We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.
Distance =

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Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.
<h3>What is the perimeter of a rectangle?</h3>
The perimeter of a rectangle of length l and width w is given by:

In this problem:
- She has enough wood to build a deck that is 280ft, hence P = 280.
- The length is of 10 feet, hence l = 10.
- Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.
Then:






She can make a deck of 122 ft wide.
You can learn more about the perimeter of a rectangle at brainly.com/question/10489198
There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)
Answer:
Step-by-step explanation:
The step by step explanation is given in the attached document.
Answer:
The answer is "1.448 miles".
Step-by-step explanation:
X= The distance to both the nozzle clogged from of the starting point.
X
Uniform(0,2) miles.
They are simulating the random number Y=0.724, and the Y has both a distribution uniform(0,1). Therefore 2Y is distributed evenly (0.2). And They model the clogging of its nozzle at 2Y=1.448 miles