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 value of (-15/8 + 1.5) = (15 – 14 3/4)? *
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0 -3/32
O 3/32
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Answers

Answer:

OKey

Step-by-step explanation:

its 16,2341242112

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:

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Step-by-step explanation:

Of the 4/7 of Lucy‘s friend to have jobs 3/4 work in fast food what part of Lucy friends work in fast food

Answers

Answer: 857/2000

Step-by-step explanation:

Just use 4/7 times 3/4 which is 12/7. 4285/10000, now simplify. that divided by five is 857/2000. i am not sure if this is correct, but this is what i got.

Answer:

3/7 is the answer

Step-by-step explanation:

multiply 4/7 x 3/4

The word OF in math means multiply

Multiply top numbers to get 12

Multiy denominators to get 28

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how would i answer this?: Evaluate 3t + 22 when t = -17

Answers

Answer:

Step-by-step explanation:

you substitute -17 for t

3x-17=-51

-51+22=-29

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

j-50

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Answers

Answer:

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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

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

Answers

Answer:

4 two meter cords

Step-by-step explanation:

Answer:

7/2=3.5

Step-by-step explanation:

Write an equation of the line that passes through the given point and is parallel to the given line.
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can you show how you solved it please ​

Answers

Step-by-step explanation:

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

The slope of this given line is 5,

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I need help on this question

Answers

It is a right agn have a good day

[PLEASE HELP! DUE IN 3 HOURS!]

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.
Using simple interest, how much interest has accrued in Latasha's savings account?

What is the total amount in Latasha's savings account?

Answers

Answer:

$11,875

Step-by-step explanation:

3.75×5 = 18.75%

[tex]\frac{18.75}{100}[/tex]×10000 = 18.75 × 100 = 1875 (we cut the zeros so that it will be easier to solve the equation)

10,000 + 1875 = $11,875 after 5 years

$1875 has accrued in Latasha's savings account

$11,875 is the total amount in Latasha's savings account after 5 years

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Answers

Answer:

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Step-by-step explanation:

kk

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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

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Step-by-step explanation:

Answer:

A.)  D.)

Step-by-step explanation:

edge 2021

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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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

Answer:

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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

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

x = 2

Step-by-step explanation:

-5x + 8 = -2

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

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Answers

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Answers

Answer:

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Step-by-step explanation:

what is -5x^2 = -50?

Answers

Answer:

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Step-by-step explanation:

Move terms to the left side
5x^2 = -50
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