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IgorLugansk [536]
2 years ago
6

Two sets of values are given below.

Mathematics
1 answer:
olasank [31]2 years ago
3 0
Set 2

Jdodjdbdj fir ridge is ro eke or rthe
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It is given that x² - y² = 30 and x - y = 5. Find the value of (x + y)².
g100num [7]

Answer:

36

Step-by-step explanation:

when solving for two variables, we need to find one variable in terms of the other.

so, we can turn:

x - y = 5

into

x - y = 5

  + y    + y

x = y + 5

Then, we can substitute "x" in the given equation with "y + 5"

  x² - y² = 30

 (y+5)² - y² = 30

(y + 5)(y + 5)

F: y²    O:  +5y    I:   +5y  L:  25   {foil}

y² + 10y + 25 - y² = 30          {cancel y² - y²}

10y + 25 = 30

      -25      -25

10y  = 5

÷10    ÷10

y = 0.5

x = y + 5

x = 0.5 + 5

x = 5.5

check:

(5.5)² - (0.5)²

30.25  - 0.25 = 30

30 = 30

(TRUE)

now, we must find the value of:

(5.5 + 0.5)²

= (6)²

= 36

So, the value of (x + y)² is found to be 36

hope this helps!!

6 0
2 years ago
Read 2 more answers
What is the answer to this problem
Romashka-Z-Leto [24]
Work:

     1355.4
    _____
5 | 6777 
  - 5000
 -----------
    1777
  - 1500
 ----------
      277
  -   250
 -----------
        27
  -     25
 -------------
          2.0
  -       2.0
---------------
              0

Answer:

1355.4   or   1355 remainder 2 (if you need remainder)

5 0
3 years ago
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den301095 [7]

Answer:

\sqrt{3281}

Step-by-step explanation:

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What are lost on a a picture
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What is the gcf of 12 20 32
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The gcf is 4 hope this helped
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3 years ago
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