A choir with 8 members sings ave Maria in 8mins how long for 20 members to sing

Mathematics

1 answer:

liubo4ka [24]2 years ago

8 0

Answer:20

Step-by-step explanation:

8 members=8mins

1 member=80 mins

20members=2.5mins

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What is an equation of the line that passes through the point (-6,-3) and is parallel to the line 5x-3y=9?

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Answer:y=5x/3 +7

Step-by-step explanation:

First, we find the slope of the line parallel. That is clearly, by rearranging, -3y= -5x + 9, and then dividing by -3, the slope is 5/3 .

Now, we know our equation is in the form of y = 5x/3 + b. Plugging in (-6,-3), we have -3 = -10 + b, so b = 7. Therefore, our equation is y= 5x/3 +7.

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The width of a rectangle is 2 meters less than its length, and the perimeter is 32 meters. Find the length and width of the rect

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The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.

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Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

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${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

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we know that

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$Density=\frac{mass}{volume}$