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
algol [13]
3 years ago
6

Let a, n, b, r, and k be integers. If a = nb+r and k|a and k|b, then k|r

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

Proof for k|r

Step-by-step explanation:

We are given that a, n, b, r and k are integers.

Also,

a = nb + r

Since k divides a and b, we can write,

a = rk and b = sk, where r and s are integers.

Now, we have to prove that k divides r as well that is k|r

Putting value of a and b in the equation, we get:

rk = n(sk) + r\\r = rk - nsk\\r = (r-sn)k

Since, (r-sn) is an integer, k divides r.

You might be interested in
Classify the following triangle. Check all that apply
Alinara [238K]

Answer:

I think its B and E

Step-by-step explanation:

Hope it helps

8 0
3 years ago
What is the value of f(4) + f(7)
tatyana61 [14]
Is there more to this problem? By saying f(4), you'd be inputting a 4 for every variable x. There is not enough info here to answer the question.
7 0
3 years ago
1 point
irga5000 [103]

Answer:

show us the graphs to be able to tell you which one

Step-by-step explanation:

3 0
3 years ago
You make 10$ an hour babysitting and 20$ an hour lifeguard you need to make at least 120$ next week to buy a concert ticket you
Fynjy0 [20]

Answer:

Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

Quesiton 5 says

Which of these inferences about the author’s point of view is best supported by the entire excerpt?

From: The Immortal Life of Henrietta Lacks" lesson

A. “She’s simply called HeLa, the code name given to the world’s first immortal human cells—her cells, cut from her cervix just months before she died.”

B. “I’ve spent years staring at that photo, wondering what kind of life she led, what happened to her children, and what she’d think about cells from her cervix living on forever—bought, sold, packaged, and shipped by the trillions to laboratories around the world.”

C. “One scientist estimates that if you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—an inconceivable number, given that an individual cell weighs almost nothing.”

D. “All of the stories mentioned that scientists had begun doing research on Henrietta’s children, but the Lackses didn’t seem to know what that research was

Step-by-step explanation:

Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

Quesiton 5 says

Which of these inferences about the author’s point of view is best supported by the entire excerpt?

From: The Immortal Life of Henrietta Lacks" lesson

A. “She’s simply called HeLa, the code name given to the world’s first immortal human cells—her cells, cut from her cervix just months before she died.”

B. “I’ve spent years staring at that photo, wondering what kind of life she led, what happened to her children, and what she’d think about cells from her cervix living on forever—bought, sold, packaged, and shipped by the trillions to laboratories around the world.”

C. “One scientist estimates that if you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—an inconceivable number, given that an individual cell weighs almost nothing.”

D. “All of the stories mentioned that scientists had begun doing research on Henrietta’s children, but the Lackses didn’t seem to know what that research was

5 0
2 years ago
The ancient Greeks could bisect an angle using only a compass and straightedge.A. TrueB. False
Gala2k [10]

Answer: True.

The ancient Greeks could bisect an angle using only a compass and straightedge.

Step-by-step explanation:

The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.

The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.

Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.

This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.

As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do you turn 7 29/80 into a decimal im so confused?
    12·1 answer
  • Show your work and explain in a full sentence how 4 2/6 is equivalent to 3 8/6
    7·2 answers
  • 5. WILL MARK BRAINLIEST!! HELP!​
    5·1 answer
  • Pls ANSWER URGENT!!!!
    10·1 answer
  • Find the image of (-1,2) reflected over the y-axis
    11·2 answers
  • Find the area of a<br> regular hexagon with<br> an apothem of<br> 15 cm.<br> DO
    5·1 answer
  • Use the given sequence to answer this following questions:
    9·1 answer
  • Find KL.<br> K<br> X-1<br> L<br> 12<br> M
    8·1 answer
  • What is a solution of the inequality shown below? -1 + x &lt; -10​
    9·2 answers
  • What is the circumference of the circle 5 in
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!