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zavuch27 [327]
3 years ago
10

Write an equation of the circle with center (-7,4) and radius 11.

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer: (x+7)^2 + (y-4)^2 = 121  or  (x+7)^2 + (y-4)^2 = 11^2

Step-by-step explanation:

Equation of the circle is:

(x-h)^2+(y-k)^2=r^2 , which is the center (h,k) and the radius r^2

-Place the center (-7,4) and radius 11 onto that equation:

(x+7)^2+(y-4)^2=121 (if simplified radius needed)

or

(x+7)^2(y-4)^2=11^2

dimulka [17.4K]3 years ago
7 0

Answer:

(x + 7)^2 + (y - 4)^2 = 121.

Step-by-step explanation:

The standard form is

(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius of the circle.

So the required equation is

(x - (-7))^2 + (y - 4)^2 = 11^2

(x + 7)^2 + (y - 4)^2 = 121.

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Answer:

1) The factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) The factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

Step-by-step explanation:

1) Factor : x^2-3x+2=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

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We can break them as (-2x)( -x)

Solving:

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So, factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) Factor: x^2+2x-8=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0

So, factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

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tatiyna

The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

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Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

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Therefore, the total surface area of the cylinder is 42\pi square fts.

To know more about the surface area of the cylinder, here

brainly.com/question/10332927

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