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
8090 [49]
3 years ago
15

X² + y² = 34x + y =8​

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\  {x}^{2}  +  {y}^{2}  = 34 \\  {(8 - 4)}^{2}  +  {y}^{2}  = 34 \\  {(8 - 4) }^{2}  =  {y}^{2}  - 16y + 64 \\   {y}^{2}  - 16y + 64 +  {y}^{2}  = 34 \\  {2y}^{2}  - 16y + 64 = 34 \\ {2y}^{2}  - 16y + 64  - 34 = 0 \\  {2y}^{2}  - 16y + 30 = 0 \\ 2 {y}^{2}  - 6y - 10y + 30 = 0 \\ (2 {y}^{2}  - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y  = \frac{10}{2}  \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \:  \: x = 3 \\ if \: y = 3 \:  \:  x = 5

You might be interested in
What is 1\3divided by 4 in simplest form?
Serggg [28]
.083 or 83/1000 depending on which one you need
5 0
3 years ago
Which set of side lengths create a right triangle ?
I am Lyosha [343]

Answer:

(8, 15 and 17)

Step-by-step explanation:

\sqrt{10^{2} +28^{2} } \neq 29

\sqrt{6^{2} +8^{2} } \neq 13

\sqrt{7^{2} +12^{2} } \neq 14

\sqrt{8^{2} +15^{2} } =17

3 0
3 years ago
Explain the relationship between the area and the radius of a circle.
Bess [88]

Area of a Circle: The area of a circle is the amount of space the circle takes up. To compute the area of a circle, we use the formula a=πr^2 where r is the radius of the circle.

Radius: The radius of a circle is the distance from the center of the circle to any point on the circle.

5 0
2 years ago
What is the equation of a line perpendicular to y=14x−3 and passes through the point (−2, 4)?
Lady bird [3.3K]

Answer:

they answer would be y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

6 0
2 years ago
100 POINTS IF U GET THIS RIGHT!
ANTONII [103]

\begin{gathered}\\ \sf\longmapsto Area\:of\:rectangle=Length×Breadth\end{gathered}

<h3>Here,</h3>
  • Length= 13.8 ft
  • Breadth= 11.9 ft

\begin{gathered}\\ \sf\longmapsto Area=13.8×11.9\end{gathered}

\begin{gathered}\\ \sf\longmapsto ⚘Area=164.22ft^{2}\end{gathered}

3 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the equation 2/5x - 1 = 9. Complete the solution and check your solution.
    7·1 answer
  • Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers. A baker used
    12·1 answer
  • What is the surface area of the cylinder to the nearest square inch ?
    7·1 answer
  • What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (0,-1)
    8·1 answer
  • 6 - 2x = 6x = 10 + 6
    11·2 answers
  • The following group of values was entered into the TVM Solver of a graphing
    5·2 answers
  • The accompanying graph shows the amount of
    11·1 answer
  • Can you please help answer the question in the photo?
    11·1 answer
  • Which situation could be represented by -18
    11·1 answer
  • Please explain on how to get the solution for each variable please
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!