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3 years ago

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2 answers:

Arisa [49]3 years ago

7 0

Answer:

x = $\sqrt{34}$ or 5.83

Step-by-step explanation:

A² + B² = C²

3² + 5² = x²

9 + 25 = x²

34 = x²

$\sqrt{34}$ = x

or

5.83 = x

Hope this helps!

OverLord2011 [107]3 years ago

7 0

5.83 is the answer to x

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The equation of a circle is x^2+y^2-2x +6y-6=0. Find the center and radius of the circle by completing the square.you must inclu

zavuch27 [327]

Answer:

The center of the circle is at;

$(1,-3)$

The radius of the circle is;

$r=4$

Explanation:

Given the equation of circle;

$x^2+y^2-2x+6y-6=0$

we want to re-write it in the form;

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

where;

$\begin{gathered} (h,k)\text{ is the center of the circle} \\ r\text{ is the radius} \end{gathered}$

Applying Completing the square method;

$\begin{gathered} x^2+y^2-2x+6y-6=0 \\ x^2-2x+1+y^2+6y+9=6+1+9 \\ (x-1)^2+(y+3)^2=16 \\ (x-1)^2+(y+3)^2=4^2 \end{gathered}$

comparing the derived equation to the general form we have;

$\begin{gathered} h=1 \\ k=-3 \\ r=4 \end{gathered}$

Therefore;

The center of the circle is at;

$(1,-3)$

The radius of the circle is;

$r=4$

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1 year ago

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4 years ago

Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.

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3 years ago

Kaylis [27]

The answer is C 84. Your welcome

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3 years ago

Read 2 more answers

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lakkis [162]

$\\ \rm\Rrightarrow \left(x+\dfrac{1}{x}\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x}\right)^2\dots(1)$

.Find x²

$\\ \rm\Rrightarrow \left(\dfrac{1}{\sqrt{2}+\sqrt{5}}\right)^2$

$\\ \rm\Rrightarrow \dfrac{1}{2+2\sqrt{10}+5}$

$\\ \rm\Rrightarrow \dfrac{1}{2\sqrt{10}+7}$

Now put in eq(1)

$\\ \rm\Rrightarrow \left(\dfrac{\dfrac{1}{2\sqrt{10}+7}+1}{\dfrac{1}{2\sqrt{10}+7}}\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{1+2\sqrt{10}+7}{2\sqrt{10}+7}\times (2\sqrt{10}+7)\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{2\sqrt{10}+8}{2\sqrt{10}+7}\times (2\sqrt{10}+7)\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{(2\sqrt{10}+8)\cancel{(2\sqrt{10}+7)}}{\cancel{2\sqrt{10}+7}}\right)^2$

$\\ \rm\Rrightarrow (2\sqrt{10}+8)^2$

$\\ \rm\Rrightarrow 40+32\sqrt{10}+64$

$\\ \rm\Rrightarrow 32\sqrt{10}+94$

More simplification (If required)

$\\ \rm\Rrightarrow 2^52^{\frac{1}{2}}\sqrt{5}+94$

$\\ \rm\Rrightarrow 2^{5+\frac{1}{2}}\sqrt{5}+94$

$\\ \rm\Rrightarrow 2^{\frac{11}{2}}\sqrt{5}+94$

$\\ \rm\Rrightarrow \sqrt{2^{11}}\sqrt{5}+94$

$\\ \rm\Rrightarrow \sqrt{2048(5)}+94$

$\\ \rm\Rrightarrow \sqrt{10240}+94$

Most accurate

$\\ \rm\Rrightarrow 101.19+94$

$\\ \rm\Rrightarrow 195.19$

6 0

3 years ago