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

what is -5x^2 = -50?

Answers

Answer:

x = 3.1622776

Step-by-step explanation:

Move terms to the left side
5x^2 = -50
5x-(-50)=9
Use the quadratic formula
x= -0 ±√0^2-4*5*50/ 2*5
Simplify
x=0 ± √-1000/10
answer: No real solutions because the discriminant is negative

Plzzzzzzzzzzzzzzzz Helo
Answer correct please but It can tell if the answer is wrong ​

Answers

Answer:

im pretty sure 20 seconds

Step-by-step explanation:

Answer:

11.494 seconds

Step-by-step explanation:

I don't think you need to show work

it's due in a few minutes, ill pay $5 on cashapp, and give you brainliest if your answer is right. just drop ur cash app.. helppp

Calculate the wavelength of a space shuttle with a mass of 2.05 x 107kg traveling at a rate of 7.85 x 103 m/s. ​

Answers

Answer:nunya

Step-by-step explanation:

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

-5x = 10

x = -2

Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.

Answers

Answer:

Im not sure but i think its b or c

Step-by-step explanation:

I would probably mostly recommend b

Which equations have the same value of x as Two-thirds (6 x + 12) = negative 24? Select two options.
4 x + 8 = negative 24
9 x + 18 = negative 24
4 x = negative 16
StartFraction 18 x + 36 over 2 EndFraction = negative 24
4 x = negative 32

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

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:

[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

what is the answer for y=mx+b

Answers

Answer:

I believe it is slope

Step-by-step explanation:

I don't understand this, could somebody tell me what to do?

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.

Dan read 3 books in 5
days. How many books
would Dan read in 1 week?

Answers

he would read 6 books
I think it’s 5 but I’m sorry if I’m wrong

I need help on this question

Answers

It is a right agn have a good day

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

12/28

Simplify by dividing each by GCF (Greatest Common Factor)...which is 4

12÷4=3

28÷4=7

(06.06) 4 3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 points) 3x + 12 (3 + x) + 4 O (x +4) 3 O 3x + 4​

Answers

Answer:

im on the same one if i get it right i will comment and tell u k?

Step-by-step explanation:

kk

Answer:

A

Step-by-step explanation:

To the nearest tenth, find the area of a circle with a
diameter of 8 meters. Use 3.14

Answers

Answer:

28.3

Step-by-step explanation:

Keith downloaded 18
songs in 3 minutes.
What's the slope?

Answers

Answer:

54

Step-by-step explanation:

54 is the slope of the equation

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:

Write an expression for 57 less than j

Answers

Answer:

Step-by-step explanation:

j-50

Find the value of (-15/8 + 1.5) = (15 – 14 3/4)? *
-3/2
0 -3/32
O 3/32
O 3/2

Answers

Answer:

OKey

Step-by-step explanation:

its 16,2341242112

Write an equation of the line that passes through the given point and is parallel to the given line.
(4,7),y=5x-3
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,

=> Parallel line will also have slope 5.

We have y = 5x + c, where c is a constant.

When x = 4, y = 7.

=> (7) = 5(4) + c, c = -13.

Therefore the answer is y = 5x - 13.

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(:

I have to pass pls help

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
2-4=-2
Y would be
-7+3=-4
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the equations with the equal method value

Answers

Answer:

a. x=2 y=8    

Step-by-step explanation:

6x-4=-3x+14  y=6x2-4     12-4=8              

9x-4=14

9x=18

x=2

What is the value of x?

Answers

Answer:

X= 120

Step-by-step explanation:

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

Pls help me and dint just say random pls

Answers

Answer:

the least rolled value is 2

Step-by-step explanation:

it has the least frequency of being rolled, only 4, compared to all the other values

Ashley is driving at a rate of 15 miles per hour. How far will she get if she drives 6 hours

Answers

Answer:

90 miles

Step-by-step explanation:

6 x 15 = 90

what are major turning points in algebraic knowledge through out history

Answers

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:

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.

REALLY EASY!!
Answer: $ ____ per week

Answers

Answer: $15 per week
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