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
r-ruslan [8.4K]
3 years ago
11

The table below shows four systems of equations:

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0
To determine which system of equations would have the same solution, we evaluate each system of equations.

System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11

<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7

System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17

System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7

</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.

     4x− 5y = 2 2( 3x − 2y = 1)
-----------------------    10x - 9y = 4</span>
You might be interested in
Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
7 0
3 years ago
In the figure below the y-axis points north, the x-axis points east, and the xy-plane corresponds to the surface of the water. S
Sergeeva-Olga [200]
So the question ask to find the displacement vector and the distance from the submarine to the boat. Base on my calculation the displacement value of the given data you give is <(5-3),(1-4)(-5-0)>. I hope you are satisfied with my answer and feel free to ask for more 
4 0
2 years ago
I need help trying to find out what is 73% of 83?
Ymorist [56]

Answer:

60.59

Step-by-step explanation:

73%=0.73

0.73*83=60.59

7 0
3 years ago
Read 2 more answers
Can someone help answer this
maks197457 [2]

Answer:

3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Need help with #9 please
zlopas [31]
The first, fourth and fifth ones are linear. 

The second, third and sixth are all nonlinear.

You can tell this by the fact that their lead exponents are not 1. 
3 0
3 years ago
Other questions:
  • Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
    14·2 answers
  • James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long
    5·1 answer
  • Numbers 17 18 can some one explain this 2 me
    8·2 answers
  • How is finding the area of a parallelogram like finding the area of two congruent triangles?
    8·1 answer
  • A manufacturer of piston rings for automobile engines frequently tests the width of the rings for quality control. Last week, a
    14·1 answer
  • Rewrite 3/2 : 1/4<br> as a unit rate.
    9·1 answer
  • ACDE is reflected over the y-axis.
    5·1 answer
  • Please help me with a cherry, sprinkles AND gummy bears??<br> Thank you!
    14·2 answers
  • The following rule is used to work out the total cost, in cunos, ofhings
    6·1 answer
  • Vineisha earned 22 out of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!