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tia_tia [17]
3 years ago
9

Which equation represents the circle described? (in picture)

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0
You are right. In circle equation we have =r² so the correct answer will be C od D.  But we have to calculate the center of a circle.

x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24

Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

And we have:

(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}

So the answer is C (the same left side of equation).
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Square root for 9/100
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\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0.\\\\\sqrt{\dfrac{9}{100}}=\dfrac{\sqrt9}{\sqrt{100}}=\dfrac{3}{10}

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3 years ago
For the function defined by y = 1/x4, y varies inversely as what quantity
gregori [183]

ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

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We can see that there is an inverse relation between the quantity y and x.

If the it were y =  \frac{1}{ {x}^2 }, we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

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4 ft    6 in
3 ft   9 in
4 ft  11 in
-------------add
11 ft  26 in

there are 12 inches in 1 ft.....so 26 inches = (26/12) = 2 ft 2 inches

11 ft + 2 ft 2 in = 13 ft 2 in <===
3 0
3 years ago
Need help
Salsk061 [2.6K]

Answer:

it is A bacause the fractions for that one are correct

Step-by-step explanation:

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The height and radius of a right cylinder are each 8 cm. what is its volume
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The volume is going to be 12
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