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Sati [7]
2 years ago
15

Determine the equation for a circle in standard form with a radius of 18, and center (18,-18).

Mathematics
1 answer:
Semmy [17]2 years ago
6 0

Answer:

(x-18)²+(y+18)²=18².

Step-by-step explanation:

1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;

2) according to the formula above:

(x-18)²+(y+18)²=18².

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Answer:

See explanation

Step-by-step explanation:

Use formula

\cos (x+y)=\cos x\cos y-\sin x\sin y

Substitute it into the first fraction:

\dfrac{\cos (x+y)}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y-\sin x\sin y}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y}{\cos x\cos y}-\dfrac{\sin x\sin y}{\cos x\cos y}\\ \\=1-\dfrac{\sin x}{\cos x}\cdot \dfrac{\sin y}{\cos y}\\ \\=1-\tan x\tany

Consider the whole expression:

\dfrac{\cos (x+y)}{\cos x\cos y}+\tan x\tan y\\ \\=1-\tan x \tan y+\tan x\tan y\\ \\=1

Done!

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3 years ago
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3 years ago
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57.8 divided by 81 but estimate the divisor and divided
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4 0
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