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MissTica
2 years ago
7

Consider the equation of a circle given by (x+8)² + (y+4)² = 256. What is the diameter of the circle?

Mathematics
1 answer:
barxatty [35]2 years ago
8 0

The diameter of the circle with the circle equation (x+8)² + (y+4)² = 256 is 32 units

<h3>How to determine the diameter?</h3>

The equation of the circle is given as:

(x+8)² + (y+4)² = 256

As a general rule, a circle equation is represented as:

(x - a)² + (y - b)² = r²

Where r is the radius.

By comparing both equations, we have:

r² = 256

Take the square roots of both sides

r = 16

Multiply by 2 to get the diameter

d = 32

Hence, the diameter of the circle is 32 units

Read more about circle equations at:

brainly.com/question/1559324

#SPJ1

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Answer:

$839.95

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Cost = price + sales tax

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The cost to purchase is $839.95.

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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot
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<u><em>Explanation</em></u>

Suppose, the number of bottles in a full box is  x

So, the number of bottles in <u>three</u> full boxes =3x

Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes = 2(x-1)

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9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12

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