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natita [175]
3 years ago
10

Find the value of two numbers if their sum is 12 and their difference is 4. Show work please.

Mathematics
2 answers:
Elza [17]3 years ago
6 0

Answer:

8,4

Step-by-step explanation:

x+y=12

x-y=4

(x+y)(x-y)=12*4

x^2-y^2=48

x=8 y=4

Irina18 [472]3 years ago
5 0

Answer:

4 & 8

Step-by-step explanation:

x-y = 4 -> x = 4+y

x+y = 12 = 4+y+y -> 4+2*y = 12

-> 2*y = 8 -> y = 4

-> x = 4+y = 8

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Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2
tankabanditka [31]

Answer: C. C=-14

Step-by-step explanation:

Given

(1/6)c+1/3=-2

Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)

6[(1/6)c+1/3]=(-2)(6)

c+2=-12

Subtract 2 on both sides

c+2-2=-12-2

c=-14

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
Read 2 more answers
Factor as the product of two binomials x^2-3x-10
cestrela7 [59]

Answer:

(x-5)(x+2)

Step-by-step explanation:

Hello there!

Your expression there has a highest power of x^{2}, so there will be two constants that you need to find.

Your last term is -10, so the constants will have a product of -10. Also your middle term is -3x, so the terms will add up to -3

-5 and 2 fit the mold.

Have a great day!

If I am most helpful, mark me brainliest!

3 0
3 years ago
What is the sum of 5x^2y and (2xy^2 + x^2y)
eimsori [14]
Recognize that you must combine "like" terms.  5x^2y and x^2y are "like" terms.

Adding them together, you get 6x^2y.  

Now add 2xy^2 to 6x^2y.  These are NOT "like" terms, so you end up with 
6x^2y+2xy^2 as your final answer.  This answer is acceptable as is.  

However, you could factor out the common factors:  2xy(3x+y).
8 0
3 years ago
This is due tomorrow and i have answers but i think ive done it wrong! please help
Eva8 [605]

Answer:  i) 1 - 9x² - 12x

               ii) 17 - 3x²

             iii) - 20 + 10x² - x⁴

<u>Step-by-step explanation:</u>

g(x) = 3x + 2       h(x) = 5 - x²

i) h(g(x))

  h(3x + 2) = 5 - (3x + 2)²

                  = 5 - (9x² + 12x + 4)

                  = 5 - 9x² - 12x - 4

                  = 1 - 9x² - 12x

ii) g(h(x))

   g(5 - x²) = 3(5 - x²) + 2

                 = 15 - 3x² + 2

                 = 17 - 3x²

iii) h(h(x))

   h(5 - x²) = 5 - (5 - x²)²

                 = 5 - (25 - 10x² + x⁴)

                 = 5 - 25 + 10x² - x⁴

                 = -20 + 10x² - x⁴

4 0
3 years ago
Can anyone help me ?
Eva8 [605]
The answer is right
3 0
3 years ago
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