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Tanya [424]
3 years ago
10

What is the equation of a circle with center (-4,7) and a radius 6

Mathematics
2 answers:
s2008m [1.1K]3 years ago
7 0

Answer:

( x +4)^2 + ( y-7)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

( x-h)^2 + ( y-k)^2 = r^2

where ( h,k) is the center and r is the radius

( x- -4)^2 + ( y-7)^2 = 6^2

( x +4)^2 + ( y-7)^2 = 36

mario62 [17]3 years ago
3 0

Answer:

(x+4)[superscript]2 + (y-7)[superscript]2 = 36

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WILL MARK BRAINLIEST!!! Find the fifth roots of 243(cos 240° + i sin 240°).
Snowcat [4.5K]

Answer:

<h2>3(cos 336 + i sin 336)</h2>

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

6 0
2 years ago
If x equals 5 what is 72+72+18x+9+18x+9
romanna [79]

Answer:

342

Step-by-step explanation:

x=5

72+72+18(5)+9+18 (5)+9=342

7 0
3 years ago
What is the value of n in the equation 3n + 2(n + 2) = 9n + 12?
Alex777 [14]
3n+2n+4=9n+12
5n+4=9n+12
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-8=4n
Divide both sides by 4
n=-2
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