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Lena [83]
3 years ago
14

What is the length of a radius of the circle represented by the equation below?

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0

Answer:

2

Step-by-step explanation:

Given the circle: x^2 + y^2 - 4x - 4y + 4 = 0

To determine the length of the radius, we complete the square.

Step 1: Subtract 4 from both sides

x^2 + y^2 - 4x - 4y + 4 -4= 0-4\\x^2 + y^2 - 4x - 4y = -4

Step 2: Divide the coefficient of x and y by 2, square it and add it to both sides

x^2 - 4x+(-2)^2+ y^2  - 4y+(-2)^2 = -4+(-2)^2+(-2)^2

Step 3: Factorize the Left Hand side and simplify the Right Hand side.

(x-2)^2+ (y-2)^2 = 2^2

Comparing with the standard form of the equation of a circle

(x-h)^2+ (y-k)^2 = r^2

r=2

Therefore, the radius of the circle is 2.

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3 years ago
Question 1 WRONG With what number must 3.475817 be multiplied in order to obtain the number 34,758.17? A 100 1,000 10,000 D 100,
lbvjy [14]

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1 - Option C - 10,000

2 - 3x+5 will be 12 more than 3x-7.

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1) To find : With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?

Solution :

The number 3.475817 is multiplied by number to obtain 34,758.17.

As we see that, the decimal is moved four places to the right.

Which means the number is multiplied by 10000.

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Therefore, option C is correct.

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Assuming that x is the same value in each equation,

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