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Veronika [31]
1 year ago
5

What is the radius of a circle whose equation is x 72 y 102 4

Mathematics
1 answer:
almond37 [142]1 year ago
8 0

The circle of the given radius with equation (x-7)²+(y-10)²=4 is 2 units.

<h3>What do we mean by circles?</h3>

A circle is, in the simplest terms, a circular shape without edges or lines.

Its geometric form is that of a closed curve.

If you track a moving point in a plane while keeping a fixed distance from another point, a circle will have a closed shape.

The English word "circle" derives from the Greek word "kirks," which means "hoop" or "ring."

So, the equation for a circle in its standard form is:

(x - h)² + (y - k)² = r²

Where the radius is r and the centroid is (h, k).

The equation is: (x - 7)² + (y - 10)² = 4

This is rewritten as:

(x - 7)² + (y - 10)² = 2²

When compared to the typical form:

(h, k) = (7, 10)

The circle's radius is 2.

Therefore, the circle of the given radius with equation (x-7)²+(y-10)²=4 is 2 units.

Know more about circles here:

brainly.com/question/24375372

#SPJ4

Correct question:
What is the radius of a circle whose equation is (x-7)²+(y-10)²=4?

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6 0
3 years ago
The area of a rectangle is 5/8 meter. The length of the garden is 1/5 meter. What is the width of the rectangle?
Afina-wow [57]

Width of rectangle is Width=\frac{25}{8} meters

Step-by-step explanation:

Area of rectangle = \frac{5}{8}

Length of garden = \frac{1}{5}

Width of rectangle = ?

Using the Formula:

Area = Length * Width

Putting values and finding width:

\frac{5}{8}=\frac{1}{5}*Width\\ Width=\frac{5}{8}\div\frac{1}{5}\\Width=\frac{5}{8}*\frac{5}{1}\\Width=\frac{25}{8} meters

So, width of rectangle is Width=\frac{25}{8} meters

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8 0
3 years ago
Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.
pogonyaev

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4

5 0
3 years ago
Point G is rotated 90°. The coordinate of the pre-image point G was (7.5), and its image Gʻis at the coordinate (5, 7).
matrenka [14]
<h3>Answer:</h3><h3>The Direction of the rotation is counterclockwise around the origin.</h3>

Step-by-step explanation:

What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).

What you need to find was : What is the direction of the rotation.

So coming to conclusions is we have given that Point G is rotated 90°.

The Pre-image of G = ( 7, -5).

Translated image G' = ( 5 ,7).

By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.

(y, -x) 90 degree rotation clockwise about the origin.

We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.

Therefore, Direction of rotation is counterclockwise around the origin.

<h3></h3>
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The answer is A. Her gross pay is $362.50.
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