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AnnyKZ [126]
3 years ago
12

Find the diameter of the circle (x - 4)2 + (y + 6)2 = 16

Mathematics
2 answers:
lord [1]3 years ago
8 0

Answer:

When the equation is written in this form, the left side shows

where the center of the circle is, and the right side is the square

of the radius.

The center of this circle is at  (4, -6), and its radius is √16 = 4 .

So its diameter is 8 units.

Read more on Brainly.com - brainly.com/question/1218311#readmore

Step-by-step explanation:

kifflom [539]3 years ago
6 0
When the equation is written in this form, the left side shows
where the center of the circle is, and the right side is the square
of the radius.

The center of this circle is at  (4, -6), and its radius is √16 = 4 .

So its diameter is 8 units.
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1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

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