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3 years ago

What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

6 0

Answer:

(-7, 5)

Step-by-step explanation:

Comparing the equation to the standard form equation of a circle of radius r centered at (h, k):

(x -h)² +(y -k)² = r²

you see that h=-7 and k=5.

The center of the circle has coordinates (-7, 5).

_____

Like a lot of math, it's about pattern matching.

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3 years ago

The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm

Virty [35]

Answer:

40cm

Step-by-step explanation:

volume of a cylinder= πr²h

V=24litres, Area=πr²=600cm², height=?

converting litres to cm³

1litre=1000cm³

24litres= 24×1000

=24000cm³

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h= 24000/600

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3 years ago

Someone help on math thxuuu

eduard

Answer:

a and b

Step-by-step explanation:

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2 years ago

in sound and harmonics, the frequency of a vibrating string varies inversely to its length. A guitar string 20 inches long vibra

zmey [24]

20 inches is 400
10 inches is 200
5 iches is 100

So 20+10+5=35
Which means 400+200+100= 700

So the frequency of a 35 inch string is 700 cycles per second

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3 years ago

Compute a · (b ✕ c), where a = i − 3j + k, b = 4i + j + k and c = 9i − j + 3k.

grandymaker [24]

$\mathbf a=\mathbf i-3\,\mathbf j+\mathbf k$
$\mathbf b=4\,\mathbf i+\mathbf j+\mathbf k$
$\mathbf c=9\,\mathbf i-\mathbf j+3\,\mathbf k$

$\mathbf b\times\mathbf c=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\4&1&1\\9&-1&3\end{vmatrix}=4\,\mathbf i-3\,\mathbf j-13\,\mathbf k$

$\mathbf a\cdot(\mathbf b\times\mathbf c)=(\mathbf i-3\,\mathbf j+\mathbf k)\cdot(2\,\mathbf i-3\,\mathbf j-13\,\mathbf k)=4+(-3)^2-13=0$

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3 years ago