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11Alexandr11 [23.1K]
3 years ago
8

The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 5)2 = 50. Find the values of n

Mathematics
2 answers:
julsineya [31]3 years ago
4 0

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

11111nata11111 [884]3 years ago
4 0

Answer:

n = 3.16

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

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To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for. 
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6. Now we just have to solve the simple equation and we will get the answer.
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Quick answer = 44 is 80% of 55
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If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles, how many sides does it h
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Problem 4:
Kipish [7]

Answer:

12cm and 16cm

Step-by-step explanation:

The hypotenuse of the right angle triangle  = 20cm

 let the other two sides be x and y;

 The difference;

                x  = y - 4

Problem:

Find x and y;

Solution:

According to the pythagoras theorem;

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and  x - y = 4 ---- ii

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Now input the value into equation (i);

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Factorize the equation;

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It is not realistic for the length of a body to be a negative value, so y= 12;

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    x = 4 + 12

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