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3 years ago

Priscilla can make 4 bracelets in 19 minutes. At this rate, how many bracelets can she make in 76 minutes?

Mathematics

1 answer:

irakobra [83]3 years ago

6 0

19 min = 4 bracelet
4 x 19 min = 76 min
If 19 min is 4 bracelets then 4 x 4 = 16 bracelets

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Read 2 more answers

Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.

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Answer:

The standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Step-by-step explanation:

We know that:

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

$x^2\:+\:10x\:+\:6y\:=\:47$

Rewriting the equation in the standard form

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

where

vertex (h, k) = (-5, 12)

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Step-by-step explanation:

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