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
Keith_Richards [23]
3 years ago
10

Find all the square roots of x2 ≡ 53 (mod 77)

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

x=\pm\sqrt{77n+53}

Step-by-step explanation:

We have been given an equivalence equation x^2\equiv 53\text{ (mod } 77). We are asked to find all the square root of the given equivalence equation.

Upon converting our given equivalence equation into an equation, we will get:

x^2-53=77n

Add 53 on both sides:

x^2-53+53=77n+53

x^2=77n+53

Take square root of both sides:

x=\pm\sqrt{77n+53}

Therefore, the square root for our given equation would be x=\pm\sqrt{77n+53}.

You might be interested in
The table below shows the number of students who attend various after-school activities. After-School Activities Activity Number
KatRina [158]

Answer:

C. 95:19

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
how many bit strings of length 9 have exactly two 1'S or two 0'S( this is one question, so you should have one answer)
Crazy boy [7]

Answer:

72.

Step-by-step explanation:

Number of strings with exactly 2 1's

= 9C2

= 9*8/2*1

= 36.

Same for  2 0s

= 36.

8 0
2 years ago
Solve the proportion t+4 / t-2 = 1/4
Lera25 [3.4K]

t+4 / t-2 = 1/4

t=-6 for your answer!

8 0
3 years ago
Complete the equation, by supplying the missing exponent.<br> m•n2•m3= m 11n2
MaRussiya [10]

Given:

Consider the given equation is:

m^?\cdot n^2\cdot m^3=m^{11}\cdot n^2

To find:

The missing exponent.

Solution:

Let x be the missing exponent. Then the given equation can be written as

m^x\cdot n^2\cdot m^3=m^{11}\cdot n^2

It can be rewritten as:

(m^x\cdot m^3)\cdot n^2=m^{11}\cdot n^2

m^{x+3}\cdot n^2=m^{11}\cdot n^2      [\because a^ma^n=a^{m+n}]

On comparing the coefficient of m, we get

x+3=11

x=11-3

x=8

Therefore, the value of the missing exponent is 8. So, the complete equation is m^8\cdot n^2\cdot m^3=m^{11}\cdot n^2.

4 0
3 years ago
Find the x-intercept and the y-intercept of the line above
Liono4ka [1.6K]

Answer:

(a): x-intercept: -4

(b): y-intercept: -1

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Simplify the radical expression<br> -4√160
    14·1 answer
  • Hannah opened her bag of Reese's pieces.
    6·2 answers
  • WORTH 35 POINTS <br> Please use picture!!
    8·1 answer
  • What is the GCF of 32,84
    15·1 answer
  • A right triangle has a 35 degree angle. The opposite leg to that angle is 12m long. Find the hypotenuse
    8·1 answer
  • A commercial airline makes a flight each day from New York to Paris, France. The aircraft seats 524 passengers and serves 2 meal
    15·1 answer
  • Why is thinking about the problem before you work important?​
    9·1 answer
  • Which best represent the solution for the inequality shown? x−2−3≤5
    12·1 answer
  • -3 - 3n = -24<br><br> A) No Solution.<br><br><br> B) -15<br><br><br> C) -3<br><br><br> D) 4
    12·2 answers
  • 10. A bell rings every 25 minutes while another bell rings every 40 minutes. If the bells rang together at 6 A.M., at what time
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!