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Diano4ka-milaya [45]
3 years ago
12

What is the answer of 81g^2 - 36f^2 ?????

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0

Answer:

(9g - 6f)(9g + 6f)

Step-by-step explanation:

81g^2 - 36f^2 =

(9g)² - (6f)² =

(9g - 6f)(9g + 6f)

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Determine whether the lines are parallel, perpendicular or neither:
Sonbull [250]

For this case we have to by definition:

If two lines are parallel then their slopes are equal.

If two lines are perpendicular then the product of their slopes is equal to -1.

We have the following equations:

4y-12 = 3x

We manipulate the equation to convert it into the slope-intersection form y = mx + b

Where:

m: It's the slope

y: It is the cut-off point with the y axis.

So:

4y = 3x + 12\\y = \frac {3} {4} x + \frac {12} {4}\\y = 0.75x + 3

From the second equation given we have:

2y-1.5x = -14

We manipulate:

2y = 1.5x-14\\y = \frac {1.5} {2} x- \frac {14} {2}\\y = 0.75x-7

It is observed that the slopes are equal, so the lines are parallel,

ANswer:

The lines are parallel.

7 0
3 years ago
Evaluate -(7^-3)(7^5) <br> A: 49, <br> B: -49, <br> C: -1/49, <br> D: 1/49.
sasho [114]

Answer:

Option B -49

Step-by-step explanation:

-(7^-3)(7^5)

-1/7^3×7^5

-7^2

-49

So option B is correct

8 0
3 years ago
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raketka [301]

Answer:

Step-by-step explanation:

4 0
4 years ago
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Solve for g.<br> g/6 - -53 = 57
Mashcka [7]

Step-by-step explanation:

g/6 - -53 = 57

g/6 + 53 = 57

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g = 4×6 = 24

5 0
3 years ago
Laura, Scott, and Joe served a total of 104
umka21 [38]

9514 1404 393

Answer:

  • Joe: 57
  • Scott: 19
  • Laura: 28

Step-by-step explanation:

Let s represent the number of orders Scott served. Then we have Joe served 3s, and Laura served (s+9). The total of orders served is ...

  3s +s +(s +9) = 104

  5s = 95 . . . . . . . . . . . subtract 9 and collect terms

  s = 19 . . . . . . . . . divide by 5

  3s = 3×19 = 57

  s+9 = 19+9 = 28

Joe served 57 orders, Scott served 19, and Laura served 28 orders.

3 0
3 years ago
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