1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prohojiy [21]
2 years ago
11

X²+y²-6x+14y-1=0 and please show your work so I can learn

Mathematics
1 answer:
Eva8 [605]2 years ago
3 0

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

x^2 + y^2 -6x+14y-1=0

We need to use the Quadratic Formula*

x =\frac{-b+\sqrt{b^2}-4ac }{2a} , \frac{-b-\sqrt{b^2} -4ac }{2a}

Thus, given the problem:

a = 1, b=-6, c=y^2+14y-1

So now we just need to plug them in the Quadratic Formula*

x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2} , x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}

As you can see, it is a mess right now. Therefore, we need to simplify it

x=\frac{6+2\sqrt{10-y^2-14y} }{2}, x = \frac{6-2\sqrt{10-y^2-14y} }{2}

Now that's get us to the final solution:

x=3+\sqrt{10-y^2-14y}, x=3-\sqrt{10-y^2-14y}

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

You might be interested in
A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats
ladessa [460]
I don’t understand what you are saying...
3 0
3 years ago
What is the answer to : 1.3(4.9 + 6k)
HACTEHA [7]

Answer:

you'd get the expression 6.37+7.8k

8 0
3 years ago
The recipe for gelatin uses 2 cups of water with 4 packages of the gelatin mix. ? How many cups of water will be used with 12 pa
olga_2 [115]

Answer:

6 cups

hope this helps! :D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the lateral area of the prism?
ruslelena [56]

Answer:

84 square feet as law of prism = perimeter of traingle ×length

4 0
3 years ago
Read 2 more answers
Rob has a 2-liter bottle of iced tea. He poured an equal amount of the iced tea into 8 containers. How many milliliters did Rob
Anastasy [175]
250, because 2000÷8=250
3 0
3 years ago
Read 2 more answers
Other questions:
  • Use the quadratic regression to find the equation for the parabola going through these 3 points (-5, 161) (-2, 29) (6, 205)
    10·1 answer
  • Which fraction is equivalent to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B35%7D" id="TexFormula1" title="\frac{25}{35}
    14·1 answer
  • 1/7 divided by 4 equals
    12·1 answer
  • 3x – 9 = -15<br> What is X
    15·1 answer
  • A list contains twenty integers, not necessarily distinct. Does the list contain at least two consecutive integers?
    9·1 answer
  • I need help with this one. Question is: you are painting the walls in your bedroom and have determined that since you have to pa
    14·1 answer
  • Find the median of data set. Round it to the nearest tenth.​
    12·2 answers
  • What is the remainder when 12 345 x 54 321 is divided by 9?<br>1<br>2<br>3​
    15·2 answers
  • Solve for the value of x and y if ADCB - NOPM.<br> I need that please
    11·1 answer
  • What is the line of reflection in the figure below? reflection over y axis a. y = x b. x-axis c. y-axis d. origin
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!