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2 years ago

Write an equation of the circle given its center and radius

Mathematics

2 answers:

erastovalidia [21]2 years ago

8 0

<h3><u>Answer:</u></h3>

y = x²- 4x + 3 + y²

<h3><u>Step-by-step explanation:</u></h3>

The equation of a circle is given by the formula

(x-a)²+(x-b)² = r²

Where; (a, b) is the center of the circle and r is the radius

Center (2,0) and radius = 1.

Therefore:

(x-2)² +(y+0) = 1²

x²- 4x + 4 + y² = 1

x²- 4x + 3 + y² = 0

Therefore; The equation of the circle is y = x²- 4x + 3 + y²

LenaWriter [7]2 years ago

6 0

Answer:

(x-2)²+ y² = 1 is the equation of given circle.

Step-by-step explanation:

We have given the center (2,0) and radius r = 1 of a circle.

We have to find the equation of circle.

As we know the equation of circle is :

(x - x₁)² +(y - y₁)² = r²

Where (x₁,y₁) is the center of circle, and r is the radius of the circle.

Putting the value in above equation we get,

(x-2)²+(y-0)² = 1²

(x-2)²+ y² = 1 is the equation of given circle.

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The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

brainly.com/question/13602562

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2 years ago

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