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1 year ago

What is the equation of a circle with center at (3,-4) and radius of 3

Mathematics

1 answer:

koban [17]1 year ago

8 0

Answer:

$\displaystyle [x - 3]^2 + [y + 4]^2 = 9$

Explanation:

Accourding to one of the circle equations, $\displaystyle [x - h]^2 + [y - k]^2 = r^2,$ the centre of the circle is represented by $\displaystyle [h, k].$ Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.

I am joyous to assist you at any time.

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3 years ago

Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)

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Answer:

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3 years ago

Read 2 more answers

Please Help. Thank you

jeyben [28]

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3 years ago

an airline experiences a no show rate of 6%. what is the maximum number of reservations that it could accept for a flight with a

Alborosie

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2 years ago

HELP NEEDED, GIVING BRAINLIEST!

Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

$A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)$

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

$\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)$

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

#LearnwithBrainly

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2 years ago