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melisa1 [442]
3 years ago
12

Write the equation of the circle whose diameter has endpoints (-16, -16) and (-4, -8). *

Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer:

The equation of circle is (x+10)^{2} + (y+12)^{2} = 52

Step-by-step explanation:

Given the endpoints of diameter of a circle: (-16,-16) and (-4,-8)

We know that the equation of circle is given by

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

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2} )

(  \frac{-16-4}{2} , \frac{-16-8}{2} )

(-10, -12)

Hence (h,k) is (-10,-12)

Substituting values of (h.k) and (x.y) as (-10,-12) and (-4,-8) respectively in equation of circle, we get

(-4+10)^{2} + (-8+12)^{2} = r^{2}

r^{2} = 52

Substituting values of (h.k) and r^{2}, we get the equation of circle as

(x+10)^{2} + (y+12)^{2} = 52

Hence the equation of circle is (x+10)^{2} + (y+12)^{2} = 52

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Examples of geometric transformations can be found throughout the real world. Think about some places where you might use or see
lina2011 [118]

Answer:

We know that there are four types of geometric transformations namely translation, reflection, rotation and dilation.

1. Translation: It is a rigid transformation that moves the objects in any direction. Few examples of translation we see in real life are:

A. When we move furniture in the house from one place to another.

B. The position of a car on the road is an example of translation.

C. When we changes the places of pieces on the chessboard.

2. Reflection: is a rigid transformation that flips the object. It can be easily observed in real life in the following ways:

A. The reflection of light from any object is the most easily viewed example of reflection.

B. Looking at yourself in the mirror is because of reflection.

C. When we can see our faces through clear water is also because of reflection.

3. Rotation: It is a rigid transformation that turns the object to a certain degree. The few examples of rotation are:

A. Opening of the door to a certain angle.

B. The spinning of Earth, Sun and other planets.

C. The moving of the hands of the clock is an example of rotation.

4. Dilation: It is a rigid transformation that changes the shape of the object. It's few examples are:

A. Enlarging the image on a computer.

B. Blowing air in the balloon to make it large.

C. Miniature version of buildings that are in proportion to the actual size of the buildings.

Hence, the transformations can be easily observed in real life.

5 0
3 years ago
The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from o
nirvana33 [79]
The equation is: 27.46 = 1.95x + 2.50

The answer is 12.8
4 0
3 years ago
Can someone plz help me with this one problem plzzzzz!!!!
Alinara [238K]
Again lol yes the answer is yea
7 0
3 years ago
Read 2 more answers
Find f(-2) for the following function. <br><br>f(x)=3.6x-2​
butalik [34]

Answer:

f(- 2) = - 9.2

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 3.6(- 2) - 2 = - 7.2 - 2 = - 9.2

4 0
3 years ago
Simplify the following expression.( Fraction form)<br><br> 7-5/6 * 7-7/6
Ipatiy [6.2K]

Answer:

1295/36

Step-by-step explanation:

the statement tell us:

(7-(5/6))*(7-(7/6))

we have:

(7-(5/6))=((6*7)-5)/6=(42-5)/6=37/6

and we have:

(7-(7/6))=((6*7)-7)/6=(42-7)/6=35/6

we need multiply both terms:

(37/6)*(35/6)=(37*35)/(6*6)

finally we have

1295/36

5 0
3 years ago
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