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3 years ago

Help me. quick,please. 20 points!!

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

I hope this helps you

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Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

Which products result in a difference of squares? Check all that apply.(x – y)(y – x)(6 – y)(6 – y)(3 + xz)(–3 + xz)(y2 – xy)(y2

nikitadnepr [17]

1. (3 + xz)(–3 + xz)

2. (y² – xy)(y² + xy)

3. (64y2 + x2)(–x2 + 64y2)

Explanation

The difference of 2 squares is in the form (a+b)(a-c).

(3 + xz)(–3 + xz) = (3 + xz)(xz -3)

= (xz + 3)(xz - 3)

= x²y²-3xy+3xy-9

=x²y² - 3²

(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²

= y⁴ - x²y²

(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)

= 4096y⁴-64y²x²+64y²x²-x⁴

= 4096y⁴ - x⁴

3 0

2 years ago

How to do: 4(x+7)=2(x+7)

andre [41]

4(x+7) becomes 4x+28 you multipli the 4 in parentheses ans 2(x+7) becomes 2x+14

4x+28=2x+14 you move the x termes to the left and other numbers to the right look:

4x-2x=14-28 when you change the sides always change the sign +or-
2x=-14
2x/2=-14/2
X=-7

3 0

3 years ago

Read 2 more answers

What is <br><img src="https://tex.z-dn.net/?f=%20%20%20cot%280.349%20%29" id="TexFormula1" title=" cot(0.349 )" alt=" cot(0.

AnnZ [28]

Cot(0.349)= 2.74804 is your answer

8 0

3 years ago

A scientist studying bacteria begins with 20 cells. The bacteria population doubles every hour. Complete the table below to dete

pantera1 [17]

Answer:

Step-by-step explanation: