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
(3 and 5/8+ 1/2)×(6 and 3/4- 7/8)
Leviafan [203]
2.375*3.65=8.667
that is the answer
3 0
3 years ago
Which equation represents the line that passes
viktelen [127]

Answer:

1) y=3x+1

Step-by-step explanation:

passes through the points

(-1.-2) and (3, 10)

7 0
3 years ago
Can someone explain how to write an equality and how to solve one? I don't understand.​
iragen [17]
Okay so the circle on the line plot, if it is empty In the middle it is > or < if it is solid it is ≤ ≥. In this case it not solid so it will be > or < . The plot is at -1 1/2 and is going positive. So it would be a > -1 1/2
7 0
3 years ago
What is the perimeter of this triangle?
stiks02 [169]
The perimeter of the triangle would be B)18. the triangle's sides are equal and you can tell by the single lines on each side symbolizing that all the sides are equal. To find perimeter, you have to add all sides together, and in this case it is 6. When 6 is added three times, it equals 18, which is the answer.
6 0
3 years ago
Read 2 more answers
Solve for m and n<br> I been stuck on this question for an hour
Crazy boy [7]

Answer:

m = 10 , n = 5\sqrt{2}

Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = \frac{1}{\sqrt{2} } and tan45° = 1 , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5\sqrt{2} }{m} = \frac{1}{\sqrt{2} } ( cross- multiply )

m = 5\sqrt{2} × \sqrt{2} = 5 × 2 = 10

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

tan45° = \frac{opposite}{adjacent} = \frac{n}{5\sqrt{2} } = 1 , then

n = 5\sqrt{2}

3 0
2 years ago
Other questions:
  • Select all the pairs of equivalent expressions.
    12·1 answer
  • Kaitlin's recipe says to bake a pie at 425°F. To the nearest whole degree, what temperature Celsius should she bake the pie?
    12·1 answer
  • A survey found that 3 out of 100 people have red hair.
    15·2 answers
  • a trinalge has two sides of lengths 4 and 7. what value could the length of the third side be? check all that apply A.9 B.11 C.1
    15·1 answer
  • 2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two
    15·1 answer
  • Express each ratio as a fraction in simplest form.<br> 5 miles to 35 miles
    9·1 answer
  • At a school, each class period is 3/4 hour long. If there are 6 hours of class time in a school day, how many class periods are
    9·2 answers
  • Food Chains What does the ---&gt; (arrow) represent in a food chain in terms of energy? Your answer​
    14·1 answer
  • Which of the following equations represents an exponential relationship?
    5·1 answer
  • HELP ASAP Gina doesn’t agree with her town’s new policy about public playgrounds. The local newspaper’s editor has given her hal
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!