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
e-lub [12.9K]
2 years ago
7

X² + y² = 8

Mathematics
1 answer:
ohaa [14]2 years ago
3 0

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

You might be interested in
How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is  one.

8 0
3 years ago
A table<br> cloth is 82 inches<br> long. What is its length in<br> feet and inches?
Ratling [72]
The answer is 6 feet 10 inches
4 0
1 year ago
Rate of change from the line
Ghella [55]

\textbf{Answer:}

\frac{-1}{4}

\textbf{Step-by-step explanation:}

\frac{y2 - y1}{x2 - x1}

\textrm{Use the formula above to determine the rate of change}

\frac{1 - 2}{4 - 0} \rightarrow\frac{-1}{4}

\textrm{The rate of change of this line is } \frac{-1}{4}

6 0
3 years ago
Read 2 more answers
Linda walked 3/4 of the length of the Tremont Trail. The trail was 3.5 miles long. How far did she walk?
den301095 [7]

Answer:

4.25 miles

Step-by-step explanation:

3 0
3 years ago
A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the
Masteriza [31]

Answer:

(x, y) - (x +4, Y-3)

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • HELP!!! Show work!!!!!!
    13·1 answer
  • hey, do any of you guys know how to plot functions on a graph. You know like f(X) and g(X)? I find it really hard and also do yo
    8·1 answer
  • An egg of a particular bird is very nearly spherical. The radius to the inside of the shell is 4 millimeters and the radius to t
    7·1 answer
  • Which numbers belong to the domain of the relation {(–2, 4), (0, –3), (4, 7), (–2, 5)}?
    13·1 answer
  • Please solve this by solving systems by elimination<br><br><br>6x+3y=-18<br><br>7x+7y=0
    11·1 answer
  • Tetsuo's savings account has a balance of $1192. After 22 years, what will the amount of interest be at 1.5% compounded annually
    8·1 answer
  • 36 points! Find the perimeter of the trapezoid shown below
    5·2 answers
  • Molly purchased a new guitar that was on sale the guitar cost $172.50 before the sale the sale was 20% off how much did molly pa
    15·2 answers
  • Can someone help out​
    5·2 answers
  • Please help I don’t understand this..
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!