Mathematics High School

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

Answers

Answer 1

Answer:

The standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

Step-by-step explanation:

We know that:

[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

[tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex]

Rewriting the equation in the standard form

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

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 [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

where

vertex (h, k) = (-5, 12)

Find The Standard Form Of The Equation For The Conic Section Represented By X^2 + 10x + 6y = 47.

Related Questions

Find the area of the figure below. 10 ft 5 ft 5 ft 17.5 ft A) 175 ft? B 150 ft © 200 m2 D 25ft?​

Answers

Answer:

175

Step-by-step explanation:

Chris needs an extension cord to set up his new video game. How many 2-meter cords will he need to reach 7 meters?

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

2/3(6x+12) = -24 can be simplified to

4x+8 = -24 so the first answer is right and if you further simplify it by subtracting the 8 you get

4x = -32

Step-by-step explanation:

Answer:

A.)  D.)

Step-by-step explanation:

edge 2021

what are major turning points in algebraic knowledge through out history

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Answer:

There are a lot of turning point in the history of algebra one of those is the discovery of  the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.

Step-by-step explanation:

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Answers

(2,-7) is the point after the translation is made to find the original point just do the opposite of the equation so for x it would be
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Answers

Answer:

Step-by-step explanation:

you substitute -17 for t

3x-17=-51

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Plzzzzzzzzzzzzzzzz Helo
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Answers

Answer:

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Step-by-step explanation:

Answer:

11.494 seconds

Step-by-step explanation:

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Answers

he would read 6 books
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Answers

Answer:

28.3

Step-by-step explanation:

Un jugador de baloncesto tiene una altura de 6 pies y 10 pulgadas. Cuál es su altura en centímetros?

Answers

208.28 cm

espero haberte ayudado(:

Keith downloaded 18
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Answers

Answer:

54

Step-by-step explanation:

54 is the slope of the equation

pls help!
Rope A is 7/12 m long, and Rope B is 2/3 m long. What is the difference in their length?

Answers

Answer:

The difference would be 1/12.

Step-by-step explanation:

2/3 is 8/12.

what does x equal in this equation -5x + 8 = -2

Answers

Answer:

x = 2

Step-by-step explanation:

-5x + 8 = -2

-5x + 8 - 8 = -2 -8

-5x = -10

-5x/5 = -10/5

-x = -2

x=2

Simplify the equation:

-5x = 2 + 8

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x = -2

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Answers

Answer:

basically you take the original price aka the first thing so the price of the obj and you increase or decrease by the following percent.

Step-by-step explanation:

(if u dont get how to actually do the math just search up how to increase and decrease by fractions cause its kinda too long for me to explain) i hope this kinda-ish helped.

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Answers

Answer:

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Step-by-step explanation:

6 x 15 = 90

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Answers

Answer:

the least rolled value is 2

Step-by-step explanation:

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Answers

Answer: 857/2000

Step-by-step explanation:

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Answer:

3/7 is the answer

Step-by-step explanation:

multiply 4/7 x 3/4

The word OF in math means multiply

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Answers

Answer:

a. x=2 y=8    

Step-by-step explanation:

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Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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In order to help her save money for college, Latasha's grandparents deposited $10,000 into a savings account five years ago. Latasha has not made any withdrawals or deposits since then. The interest rate on the savings account is 3.75% each year.
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Answers

Answer:

$11,875

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Move terms to the left side
5x^2 = -50
5x-(-50)=9
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x= -0 ±√0^2-4*5*50/ 2*5
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Answers

Step-by-step explanation:

y = 5x - 3 is in slope-intercept form.

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Step-by-step explanation:

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Step-by-step explanation:

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