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Artemon [7]
3 years ago
5

Which of these expressions is equivalent to m^2 - n^2 - 14n - 49?

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

n = m - 7 or n = -m - 7

Step-by-step explanation:

Solve for n:

m^2 - (n + 7)^2 = 0

The left hand side factors into a product with two terms:

(-7 + m - n) (7 + m + n) = 0

Split into two equations:

-7 + m - n = 0 or 7 + m + n = 0

Subtract m - 7 from both sides:

-n = 7 - m or 7 + m + n = 0

Multiply both sides by -1:

n = m - 7 or 7 + m + n = 0

Subtract m + 7 from both sides:

Answer:    n = m - 7 or n = -m - 7

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Maria bought 14 oranges. Each orange weighed 0.44 pound.
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Step-by-step explanation:

14x0.44

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3 years ago
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Is 2/5 + 1/2 about 1 explain
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2/5 + 1/2 = 0.9
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3 years ago
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Solve the following equation: *<br> -9 (t – 2) = 4(t – 15)
iragen [17]

Answer:

6 =t

Step-by-step explanation:

-9 (t – 2) = 4(t – 15)

Distribute

-9t +18 = 4t -60

Add 9t to each side

-9t +18+9t  = 4t+9t -60

18 = 13t -60

Add 60 to each side

18+60 = 13t-60+60

78 = 13t

Divide each side by 13

78/13 = 13t/13

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5 0
3 years ago
Tony is trying to find the solution of the system 2x - 4y +12 using elimination 3x + 4y = 48 He wrote these steps to solve the p
kobusy [5.1K]

Answer: Solution: (12, 3)

Step-by-step explanation:

2x - 4y = 12

3x + 4y = 48

Add both equations

5x = 60

Divide both sides by 5

x = 12

We can use the value of x to find y

3x + 4y = 48

3 (12) + 4y = 48

36 + 4y = 48

Subtract 36 from both sides

4y = 12

Divide both sides by 4

y = 3

Solution: (12, 3)

7 0
2 years ago
5x + 7 - 2(-8x -1) = 7(x - 1)
love history [14]

Step-by-step explanation:

5x + 7 - 2( - 8x - 1) = 7(x - 1)  \\ 5x + 7 + 16x + 2 = 7x - 7 \\ collecting \:  like \:  \: terms \:  \\ 5x + 16x - 7x =  - 7 - 2 - 7 \\ 14x =  - 16 \\ divide \: both \: side \: by \: 14 \\  \frac{14x}{14}  =  \frac{ - 16}{14}  \\ x =   - \frac{ 8}{7}

8 0
3 years ago
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