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2 years ago

5

Which angles are remote interior angles? Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angl

e 4.

1 answer:

Nuetrik [128]2 years ago

6 0

Answer:

Angle L (1) and Angle M (2)

Step-by-step explanation:

Angle N is not a remote angle because it has an exterior angle, angle 4

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

Levart [38]

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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2 years ago

The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki

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The answer would be (108-20)4=22

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Sarah wanted to share her apple with 3 of her friends , but she only had 1/2 of an apple left. What math problem should she write to figure out how to split her apple. Explain your answer.

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Round 8.795 to the nearest cent

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Answer:

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Step-by-step explanation:

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2 years ago

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only p

EleoNora [17]

Answer:

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Step-by-step explanation:

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Marcel: 0 plays= $8.25, 1 play=$8, 2 plays= $7.75, 3 plays= $7.5

Floyd : 0 plays= $9.75 1 play =$9.00 , 2 plays= $8.25, 3 plays = $7.5

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2 years ago

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