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
sweet [91]
4 years ago
8

Solve the following system. x^2 + y^2= 25 2x + y = 10 The solution set is...?

Mathematics
1 answer:
iogann1982 [59]4 years ago
4 0
x^2 + y^2= 25\\
2x+y=10\\\\
x^2 + y^2= 25\\
y=10-2x\\\\
x^2+(10-2x)^2=25\\
x^2+100-40x+4x^2=25\\
5x^2-40x+75=0\\
x^2-8x+15=0\\
x^2-3x-5x+15=0\\
x(x-3)-5(x-3)=0\\
(x-5)(x-3)=0\\
x=5 \vee x=3\\\\
y=10-2\cdot5 \vee y=10-2\cdot3\\
y=0 \vee y=4\\\\
\boxed{(x,y)=\{(3,4),(5,0)\}}


You might be interested in
Ashley has $150 in her bank account. She buys a bike for $200. Now her account balance is -$50. If she deposits the $75 she rece
polet [3.4K]

Answer:

She will have $25.00 in her bank account!

Step-by-step explanation:

If she has -$50 and adds 75 that is filling in the negative hole and adding $25 to the 0 she would have. ;) hope this helps!

4 0
3 years ago
Six more than the product of a number and 5 is equal to 9.
padilas [110]

Answer:

5 = 9 + 6

Step-by-step explanation:

5 0
2 years ago
Question 13
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

4 0
4 years ago
Suppose that 5 people sitting in a enclosed room are each generating about 500 BTUs of body heat per hour. If the room is 10 ft
Mazyrski [523]

Answer:

A)5

Step-by-step explanation:

I answered the question already.

4 0
3 years ago
Read 2 more answers
HELP PLSSS THIS IS HARD SOMEONEEE
-BARSIC- [3]

Answer:

B

Step-by-step explanation:

Each coordinate becomes 1/4 of what it was.

Answer: B

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the definition of Slope​
    13·2 answers
  • The PTA created a back to school backdrop and snapped polaroid pictures. The polaroid photo measures 3 inches by 4 inches. They
    15·1 answer
  • Create a word problem using the following equation -2(5)= -10
    9·2 answers
  • Do you know what is x+3x-8+x=55
    13·1 answer
  • How do you find the y-coordinate of<br> the midpoint for the segment
    8·1 answer
  • What’s the square root of 81
    6·2 answers
  • Give the radius or diameter. find the the circumference and area of each circle to the nearest tenth. Use 3.14 for pi
    8·1 answer
  • Each True/ False question is worth 3 points and each multiple choice question is worth 5 points. If there is an 86- point test a
    7·1 answer
  • Find the slope of the line passing through each of the following pairs of points.<br> (4,0), (-2,8)
    14·2 answers
  • Sequence: 1,5,13,25<br><br> Find nth term (Equation/formula thingy)<br><br> Need answer ASAP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!