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
gladu [14]
3 years ago
10

Solve the following system for all solutions: (x - 1)^2 + (y + 3)^2 = 13 x + y = -3​

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

  • ( -4, -1 ) and ( -9, - 6)

Step-by-step explanation:

<h3>Given</h3>
  • (x - 1)^2 + (y + 3)^2 = 13
  • x + y = -3​
<h3>Solution</h3>

<u>From the second equation we get</u>

  • x = - y - 3

<u>Substituting x in the first equation</u>

  • (- y - 3 - 1)^2 + (y + 3)^2 = 13
  • (-y - 4)^2 + (y + 3)^2 = 13
  • (y+4)^2 + (y+3)^2 = 13
  • y^2 + 8y + 16 + y^2 + 6y + 9 = 13
  • 2y^2 + 14y + 12 = 0
  • y^2 +7y +6 = 0
  • (y+1)(y+6) = 0
  • y = - 1
  • y = - 6

<u>Then</u>

  • x = -4
  • x = - 9

<u>Answer</u>

  • ( -4, -1 ) and ( -9, - 6)
You might be interested in
Which of the following is a solution of x2 + 4x + 25?
blondinia [14]
Solve for x:
x^2 + 4 x + 25 = 0     I ssume that's the notation.
Subtract 25 from both sides:
x^2 + 4 x = -25
Add 4 to both sides:
x^2 + 4 x + 4 = -21
Write the left hand side as a square:
(x + 2)^2 = -21
Take the square root of both sides:
x + 2 = i sqrt(21) or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
x = i sqrt(21) - 2 or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
Answer: x = i sqrt(21) - 2 or x = -i sqrt(21) - 2
5 0
3 years ago
Are the fractions 1/5 , 5/5 , and 5/1 equivalent?Explain.
Debora [2.8K]
No, these equations are not equivalent. 

1/5, or one fifth, is part of a whole. Imagine you have a pie, cut into five pieces, and your friend comes over and eats four pieces, so now you have one of the five original pieces. That's what you have here. 

5/5, or five fifths, is a whole. any number divided by itself is automatically one, so it is like making another pie and cutting it into five pieces, only this time no one eats any of it because it's burned or something. At the end, you have five pieces of pie

5/1 is actually just another way of writing plain old 5. To keep the pie example rolling, you have five pies, and no one eats any of these either, so they are all yours. You have 5 pies divided between one person, so at the end of the day you have 5 whole pies. 

Hope that helped!
7 0
3 years ago
Read 2 more answers
Malaya creates a password as follows: letter, number, letter, special character, number Assuming that there are 12 special chara
Tems11 [23]
Hey there!

I'm not too sure about this question, but I'm gonna guess 12 or 15

I hope this helps out a little bit! 

Always remember, you are a Work Of Art!
- Nicole <3 :)
4 0
3 years ago
What is the volume of the rectangular prism? Alternative text A. 1216in.3 B. 24 in.3 C. 6018in.3 D. 7312in.3
Eva8 [605]

Answer:C

Step-by-step explanation: Because its just so easy :/

5 0
3 years ago
This year ⅗ of the students in Fionna’s class identify as girls. Fionna notices that ⅔ of these girls wear braces. Only ½ of the
Tju [1.3M]

Answer:

³/5

Step-by-step explanation:

Total = 5 units

Girls = 3 units

~if ⅔ of the girls wear braces

= 2units of girs wear braces

Boys = 2 units

~if ½ of the boys wear braces

= 1unit of boys wear braces

Hence, 2units + 1unit =3 units of the class wears braces.

Total pupils = 5units

total that wear braces out of the whole class = 3/5

5 0
3 years ago
Other questions:
  • Sofia is learning to knit. After her first three stitches, she had to undo the last two. Then she made three more stitches and a
    8·1 answer
  • The frequency of an AM radio is 1.4 x 106 hertz (cycles per second). Approximately, how many cycles are completed in a minute?
    13·1 answer
  • The bases of the trapezoid are 6 and 10. The height is 4. Find the area.
    11·1 answer
  • A decimal rounded to the nearest hundredth is 6.32.This decimal is greater than 6.32
    8·2 answers
  • At Gloria’s Restaurant, the average diner tips the waiter 20% of their total bill (cost of meal). Jacob's bill was $66 How much
    6·2 answers
  • Abe had some sweets.
    10·1 answer
  • What is the slope and y intercept of the line 6x + 2y = 12
    6·1 answer
  • Sage needs 2 boards to make a shelf. One board is 260 cm long and the other is 1 1/4 m long. What is the total length of the she
    5·2 answers
  • Please help Fr pleased I’m begging you
    12·1 answer
  • There are 15 boys and 13 girls in a class. what are the probabilities of choosing a boy? answer as decimal
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!