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
inn [45]
3 years ago
8

Which point is the solution to the following system of equations? x2 + y2 = 13 2x - y = 4

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer with Step-by-step explanation:

2x-y=4  ⇒y=2x-4

x²+y²=13

⇒ x²+(2x-4)²=13

⇒ x²+4x²+16-16x=13

⇒ 5x²-16x+3=0

⇒ 5x²-15x-x+3=0

5x(x-3)-1(x-3)=0

⇒ (5x-1)(x-3)=0

either 5x-1=0 or x-3=0

x=1/5 or x=3

when x=1/5=0.2, y=2/5-4 i.e. y=-3.6

when x=3, y=2

Hence, solution of x²+y²=13 and 2x-y=4 is:

x=0.2,y= -3.6  and x=3,y=2

         

Anit [1.1K]3 years ago
4 0
There are two solutions.
.. (3, 2)
.. (0.2, -3.6)

_____
If you're choosing possibilities from a list, trying them in the equations usually gives quick results.

You might be interested in
Sylvia is changing the light bulbs of the big light fixture in her dining room. She finished 1 5 of the bulbs in 10 minutes. Wha
san4es73 [151]

Answer:

D

Step-by-step explanation:

5/5 -1/5=4/5

4 0
3 years ago
Learning task 1: find the value of the expression given the value of the variables 3x + 5 x = 2 5xy + x - 4 , x = -3 and y = 5
olasank [31]

Step-by-step explanation:

3x+5x=25xy+x-4

8x=25xy+x-4

8(-3)=25(-3)(5)+(-3-4)

-24=25(-15)+(-7)

-24= -375-7

-24= -382

if the question is right that you asked, i mean the = sign then the solution is will be come like this but if there is no = sign then you can get the solution by subtracting -24-382= -406

8 0
3 years ago
What is the surface area of the rectangular prism described by the net below?
dimaraw [331]

Answer:

758

Step-by-step explanation:

758 is the answer sheesh

6 0
3 years ago
Read 2 more answers
What is 10/8 in simplest form
aliya0001 [1]
10/8 in simplest form:

First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.

Second, divide the numerator and the denominator by the GCF (2).
10 \div 2 = 5  \\ 8 \div 2 = 4

Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get: \frac{5}{4}

Answer in fraction form: \fbox {5/4}
Answer in decimal form: \fbox {1.25}
Answer in mixed number form: \fbox {1 1/4}
4 0
3 years ago
Read 2 more answers
Tickets to a pay cost 8 dollars each. Write an expression that gives the ticket cost in dollars for a group of g girls and b boy
Nana76 [90]

(g+b)*8

first add all of the people

and then multiply that by 8

7 0
3 years ago
Other questions:
  • Round 8.1845062 to the nearest hundred thousandths
    14·1 answer
  • A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120
    6·1 answer
  • The formula for the circumference C of a circle, in terms of the radius, is C = 2TTr, where r stands for the radius. Rearrange t
    12·1 answer
  • Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses ounce of shampoo each time he washes his hair. Whi
    13·2 answers
  • Simplify the expression given below x^2 + x-2
    9·1 answer
  • If you cut a 35-inch long stick in the ratio 2:3, how long would each part be?
    6·1 answer
  • Complete the function table
    12·1 answer
  • Help please <br> What is the answer?
    7·1 answer
  • Show all your working please​
    13·1 answer
  • Covert 25 degree Fahrenheit to degree Celsius
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!