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3 years ago

What is the area of a parallelogram that has a base of 412 in. and a height of 214 in.?

Mathematics

2 answers:

Talja [164]3 years ago

7 0

Answer:

area = 88,168 in²

Step-by-step explanation:

area = 412 x 214 = 88,168 in²

antoniya [11.8K]3 years ago

4 0

Answer:

88168in²

Step-by-step explanation:

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

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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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3 years ago