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
aleksandrvk [35]
3 years ago
12

12^13–12^12+12^11 is divisible by 7 and 19.

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

The statement is true

Step-by-step explanation:

The question is as following :

12^{13}-12^{12}+12^{11} is divisible by 7 and 19, true or false?

The given expression is 12^{13}-12^{12}+12^{11}

Take 12^{11} as a common

12^{13}-12^{12}+12^{11} = 12^{11}*(12^2-12^1+12^0)\\= 12^{11} *(144-12+1)\\=12^{11} * 133\\= 12^{11} * 7 * 19

So, 12^{11} * 7 * 19 divided 7 = 12^{11} * 19

And 12^{11} * 7 * 19 divided 19 = 12^{11} * 7

12^{13}-12^{12}+12^{11} is divisible by 7 and 19 (<u>True</u>)

You might be interested in
You roll a 6-sided die.<br> What is P(even or factor of 45)?<br> Write your answer as a percentage.
jonny [76]

Answer:

30% because the chance of the whole dice is 6

4 0
2 years ago
Read 2 more answers
Can someone give me some tips of how to study. I have already tried writing everything in my lesson but it doesn't seem to work
Ainat [17]
Study all notes, reread the chapters again. Have someone ask questions on the chapters page by page. This always has worked for me. Plus try to do this again the night before the test. You will be surprised how much you can remember by doing it again the night before the test. Hope this helps.
8 0
3 years ago
If the area of Bianca’s rectangular backyard patio is represented by the expression x2−18x + 81, and the length of the patio is
frosja888 [35]

Answer:

a square backyard with width (x - 9)

Step-by-step explanation:

x²−18x + 81 = x² - (2 x 9) x + 9² = (x - 9)²

width = area / length = (x - 9)² / (x - 9) = x - 9

Length = width

This is a square backyard

4 0
3 years ago
Please help and thank you!!!
Jlenok [28]

Answer:

Step-by-step explanation:

12: 8,700

13: 42

14: 70,000

15: 5,000,000,000

16: 2,210

17: 34,100

18: 1,650

19: 149

20: 290,000

6 0
2 years ago
Read 2 more answers
A great white shark weighted 4,302 pounds. This weight was 3 times the weight of a blue marlin fish. What was the weight of the
Sauron [17]

All you need to do is 4,302 divided by 3. You would get 1434 pounds. I did this in my head. You can split it to get 4,200 divided by 3 + 102 divided by 3. You get 1400 + 34 which is 1434.


7 0
3 years ago
Read 2 more answers
Other questions:
  • Among the eighth-graders in Michael's school, 70% have siblings. The eighth-grade class in 5/6 the size of the seventh-grade cla
    13·2 answers
  • Question: What is the volume of the box? Explain how you found your solution.
    14·1 answer
  • Is WXY ~ ZYV? Justify your answer. The image is not drawn to scale.
    14·2 answers
  • Julia opened a new flower shop, and her daily sales are modeled by f(x) = 2(1.25)x. Determine the rate of growth.
    13·2 answers
  • Help 13 points!!!!!!!!
    8·1 answer
  • An experiment compares the height of two plants over time. A plant was 2cm tall at the beginning of the experiment and grew 0.5
    8·1 answer
  • What is the difference between the points (-7,-8) and (2,-8)?
    6·2 answers
  • Solve using Pythagoras Theorem (please)​
    10·1 answer
  • What is 234475 x 45678 =?
    14·2 answers
  • If Kerri has 2 3/4yogurt packs, how many friends can<br> she feed?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!