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2 years ago

Daeja and Juana solved this equation 6 = 1/2s.

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

5 0

Answer:

Daeja is correct.

Step-by-step explanation:

Equation: 6 = 1/2s

Solve:

(2)6 = 1/2s(2) <== multiply both sides by 2

12 = s or s = 12

Therefore, Daeja is correct.

I multiplied both sides by 2 to isolate s, and 2 ⋅ 6 is 12.

Hope this helps!

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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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