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3 years ago

1.) Which system of equations below give the solution (-1,-2)?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

7 0

Answer:

y = -x - 3

Step-by-step explanation:

Plug in -1 for <em>x</em><em> </em>and your result will come out to 1 because of that double negative [-(-1) = 1]. Next, deduct 3 from 1 to get -2.

I am joyous to assist you anytime.

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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.

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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3 years ago

Which of the following is the appropriate interpretation for when an event has a probability of 1? Group of answer choices We ar

ira [324]

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Answer:

We are absolutely certain that the event will occur

Step-by-step explanation:

An event with probability 1 is certain to occur. There is no chance it will not occur.

We are absolutely certain that the event will occur.

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3 years ago