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
Nutka1998 [239]
3 years ago
15

What is one of the solutions to the following equations? y2+x2=53 Y-x=5

Mathematics
1 answer:
Olenka [21]3 years ago
4 0
(1)  y² + x² = 53
(2)  y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

x² + 5x - 14 = 0

x² - 2x+ 7x - 14 = 0

x(x - 2) + 7(x - 2) = 0

(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7

subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3

Answer: x = 2 and y = 7 or x = -7 and y = 3
You might be interested in
Find the limit of f(x,y ) → (0,0) or show that the limit does not exist. Consider converting the function to polar coordinates t
Vladimir79 [104]
7272736463636367337277272727727273737373737374737
7 0
2 years ago
HELP!!! I NEED THE ANSWER!
Fiesta28 [93]

Things we know: every pound of cherries cost four dollars.

We don't know how much the mother got and it is represented by the variable 'r'. But we do know how many pounds the dad got. He got two pounds.

We know the total cost the mom had to pay which is 4 * r and the amount the dad paid is 4 * 2 or 8.

Now we want to make an algebraic expression that represents how much more the mother paid than the father.

Final answer:

8 - (4 * r)

Hope this helps!

3 0
2 years ago
Read 2 more answers
What is the volume of this prism? ​
marin [14]

Answer:

160 u^3

Step-by-step explanation:

For the sake of ease, I will split this prism into 2 prisms. One prism will be 2x4x5 while the second one will be 4x5x6. The volume of the prism will be the sum of the volume of both prisms.

Prism A: Volume would be lwh or 2*4*5=40

Prism B: Volume would also be lwh which is 4*5*6=120

40+120=160

The volume is 160 units^3

Hope this is correct and helps!

7 0
3 years ago
Solve each quadratic equation by factoring and check
max2010maxim [7]

hello : <span>
<span>the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 )  Δ > 0  the equation has two reals solutions : x1,2 =  (-b±√Δ)/2a</span></span>

factoring :

<span>ax²+bx+c = a(x-x1)(x-x2)
2 ) Δ = 0 : one solution : x1 = x2 = -b/2a</span>

factoring  : 

<span>ax²+bx+c = a(x-x1)²
3 ) Δ < 0 : no reals solutions... no </span>

<span>factoring </span>
5 0
2 years ago
WILL GIVE BRAINLST <br><br> HAVE A AMAZING DAy !!
Pachacha [2.7K]

uh i'm not sure i think its 2,also im having a terrible day so thank you :3

8 0
2 years ago
Other questions:
  • Why do fractions get smaller when you multiply it?
    6·1 answer
  • Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims fo
    14·2 answers
  • Geometry help please
    12·1 answer
  • a horse and a saddle cost 5000 dollars. if the horse cost 4 tomes as much as the saddle, what was the cost of each?
    14·1 answer
  • The sum of two numbers is -284 One number is 62 less than other find the numbers
    11·1 answer
  • Combine like terms to create an equivalent expression.
    6·1 answer
  • What are the steps to solving -1.56+.73
    8·1 answer
  • Susan has a part time job. She earns $7 an hour. She earns at most $143.50 a week. What is the greatest number of hours that she
    8·1 answer
  • If there are 15 cats in the apartment complex how many dogs are there?
    13·2 answers
  • Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!