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
Andrews [41]
4 years ago
11

Understanding this proof for the proposition "For all integers a, gcd(9a+4, 2a+1) = 1.

Mathematics
1 answer:
olganol [36]4 years ago
3 0

First line because 4(2a+1)=8a+4 and 9a+4-(8a+4)= a


Second line because a times 2 =2a and 2a+1-2a=1


<span>Although the second equality is more or less obvious since 2a+1 leaves a remainder of 1 when divided by a.</span>

You might be interested in
Find the mode of the given data 4,6,5,9,9,9,9,10,12.<br>please answer me fast ​
NARA [144]

Answer:

9

Step-by-step explanation:

This is the answer because:

1) The mode is the element that occurs most in the data set. In this case, 9  occurs 4 times.

Therefore, the answer is 9.

Hope this helps! :D

6 0
3 years ago
Read 2 more answers
Which of the six trigonometric functions are not defined at 0?
Montano1993 [528]
Using trigonometry table :
Sine 0 = 0
Cosine 0 = 1
Tangent 0 = 0
Co-secant 0 = 1/sine 0
                    = 1/0
                    = undefined
Secant 0 = 1/cos 0
               = 1/1
               = 1 
Cotangent 0 = 1/tan 0 
                     = 1/0
                     = undefined<span />
7 0
4 years ago
2. The store had a sale of $15 per book. how many books could you buy with $90​
riadik2000 [5.3K]
They could bye 6 books which would equal to 90$
6 0
3 years ago
Read 2 more answers
How might you solve a problem that has both a fraction and a decimal in it
Anni [7]
Well, one way is to convert one of the numbers to the other. For example, if I have 3/5 and 0.5, I could convert 3/5 to a decimal. So, I would have 0.6 (3/5 converted to a decimal), and 0.5. Next, I would just add the two together to get my answer of 1.1
5 0
4 years ago
Express sin A, cos A, and tan A as ratios ​
vlabodo [156]
<h3>Answer: Choice B</h3><h3>sqrt(3)/2,    1/2,   sqrt(3)</h3>

================================================

Explanation:

Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12

Sin(angle) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 6sqrt(3)/12

sin(A) = sqrt(3)/2

---------------

Cosine is the ratio of the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 6/12

cos(A) = 1/2

---------------

Tangent is the ratio of the opposite and adjacent

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 6sqrt(3)/6

tan(A) = sqrt(3)

5 0
3 years ago
Other questions:
  • Line M is represented by the following equation x - y = 8 which equation completes the system that is Satisfied by the solution
    12·1 answer
  • A polyhedron has the following characteristics. Find the missing value.
    8·1 answer
  • What does 2/3 * 14/6 equal. Please show work
    12·1 answer
  • Tessa bought stock in a restaurant for $257.00. Her stock is now worth $370.08. What is the percentage increase of the value of
    14·1 answer
  • What is the plot of the line
    10·1 answer
  • Round 69.65 to the nearest whole number.<br> A) 69 <br> B) 69.7 <br> C) 70 <br> D) 70.6
    8·2 answers
  • Please help and thanks in advance <br><br><br> Add 0.65 and 0.24. How many tenths are in the sum?
    12·1 answer
  • A shirt priced at x dollars is discounted before tax is added. The final price in dollars is described by the expression below.
    8·1 answer
  • Please help with these two (I will report you if you try to give me a link to a virus)
    13·2 answers
  • PLEASE HELP YOU GET BRAINLY I HAVE A LIMITED TIMEE
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!