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
LekaFEV [45]
3 years ago
11

Find 2 numbers, if their sum is -11 and their difference is 41

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

  15, -26

Step-by-step explanation:

The <em>generic solution</em> to a "sum and difference" problem can be found easily. Let "a" and "b" represent the numbers you seek, and let "s" and "d" represent their sum and difference:

  a + b = s

  a - b = d

Adding these two equations tells you ...

  2a = s + d

  a = (s + d)/2 . . . . . . divide by the coefficient of a

You can find "b" several different ways. One way is to subtract the second equation from the first:

  2b = s - d

  b = (s - d)/2 . . . . . . divide by the coefficient of b

So, the second number can be found from any of ...

  • b = s - a
  • b = a - d
  • b = (s - d)/2

____

For the numbers given here, s=-11, d=41, the two numbers are ...

  a = (-11 +41)/2 = 15

  b = -11 -15 = -26

The two numbers are 15 and -26.

You might be interested in
What is the prime factorization of 240? Question options: 24 · 3 · 7 23 · 3 · 5 24 · 5 23 · 5 · 7 24 · 3 · 5
timama [110]

The prime factorization of 240 is 2^{4} . 3 . 5 ⇒ last answer

Step-by-step explanation:

Prime number is the number that has only 2 factors 1 and itself

{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}

In prime factorization we use only the prime numbers

Ex: The factors of 15 are 1 , 3 , 5 , 15,

      Then the prime factors of 15 are 3 and 5 only because they are

       prime numbers

So to find the prime factors of a number do that

1. Factorize the number by divide it using prime numbers only

2. Write the number as a product of its prime factors

∵ 240 divisible by first prime number 2

∴ 240 ÷ 2 = 120

∵ 120 ÷ 2 = 60

∵ 60 ÷ 2 = 30

∵ 30 ÷ 2 = 15

- We divided the number by 2 for 4 times

∴ 2^{4} is a prime factor of 240

∵ 15 is divisible by prime number 3

∴ 15 ÷ 3 = 5

∴ 3 is a prime factor of 240

∵ 5 is divisible by prime number 5

∴ 5 ÷ 5 = 1

∴ 5 is a prime factor of 240

∴ The prime factors of 240 are 2^{4} , 3 , 5

The prime factorization of 240 is 2^{4} . 3 . 5

Learn more:

You can learn more about factors in brainly.com/question/5194236

#LearnwithBrainly

7 0
3 years ago
A magazine contains thirteen pages. You
n200080 [17]

Answer:

10

Step-by-step explanation:

because your more likely to open to a page deeper in the magazine

5 0
3 years ago
Simplify the expressions by combining like terms<br><br> 1.5r - 3r + 8r + 2.5r
Tomtit [17]

Answer:

9r

Step-by-step explanation:

1.5r - 3r + 10.5r

10.5r + 1.5r = 12r

12r - 3r = 9r

Final Answer = 9r

5 0
3 years ago
PLEASE HELP ! ASAP I GIVE BRAINLIEST AND POINTS!
AleksandrR [38]

wkwkwkwkwwkw s hrd....

4 0
3 years ago
PLEASEEEE HELPPPP<br><br><br><br><br><br> -1+(-5) =<br><br><br><br><br><br>​
valentina_108 [34]

Answer:

-6

Step-by-step explanation:

-1+(-5)

You are moving down the numberline, then subtracting again because of the negative sign. -(1+5) is how I like to think of it.

So, 1+5=6, and you add the negative sign. -1+(-5)=-6.

6 0
3 years ago
Other questions:
  • 3. The regular price for a video game system is $250. It is on sale for 20% off. What is the total cost of this video game syste
    6·1 answer
  • rectangle ABCD is graphed in the cordinate plane. The following are the verticies of the rectangle; A(-6,-4),B(-4,-4),C(-4,-2),
    5·1 answer
  • PLEASE HELP!!! I'M ON A TIMER!! (20 POINTS) Which method correctly solves the equation using the distributive property? Negative
    14·2 answers
  • Whats the answer for this 14=-(p-8)
    13·2 answers
  • ANSWER FAST PLEASE Which is a reasonable first step that can be used to solve the equation 4x+3(x+2)=5(2x-3)
    12·1 answer
  • Please Help............
    9·1 answer
  • Is Amber your name? nklnlllnjlklklnklklklnklnklnklnklnklnlklkklnlknklnklnklnklnklnklnklnkl
    13·2 answers
  • To make the perfect purple hue, the artist used cup of blue paint per batch and cup of red paint per batch. He wanted to make 17
    9·1 answer
  • Find the sum: 11 + 15 + 19 + .......+ 83
    14·1 answer
  • Dan's school is selling tickets to a play. On
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!