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statuscvo [17]
3 years ago
5

For brainiest:):):):):):):)

Mathematics
2 answers:
Kay [80]3 years ago
8 0

Answer:

#5  decimal: 0.625   percent 62.5%

#6   decimal: 0.16    percent 16.666%

#7   decimal:3.6667    percent 366.67%

#8   decimal:0.003     percent 0.3%

Step-by-step explanation:

Hopes this helps

lora16 [44]3 years ago
3 0

Answer:

  1. 0.625 and 62.5%
  2. 0.17 and 17%
  3. 3.7 and 367%
  4. 0.003 and 0.3%

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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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