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seropon [69]
3 years ago
15

Find the equation of the circle in standard form for the given center (h, k) and radius r: (h, k) = (0, 0), r = 4

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

x^2+y^2=16

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by the formula;

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

Given (h,k)=(0,0) and r=4, we substitute the values to obtain;

(x-0)^2+(y-0)^2=4^2

The required equation is

x^2+y^2=16

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Factor completely 3X^2 -25​
Dominik [7]

In order to factor a polynomial, you have to find its roots

x_1,\ x_2,\ldots,x_n

So that you can factor it as

p(x)=(x-x_1)(x-x_2)\cdots(x-x_n)

So, in this case, we're looking for the solutions of

3x^2-25=0 \iff 3x^2=25 \iff x^2 = \dfrac{25}{3} \iff x=\pm\sqrt{\dfrac{25}{3}}=\pm\dfrac{5}{\sqrt{3}}

So, the polynomial can be written as

3x^2-25 = \left(x-\dfrac{5}{\sqrt{3}}\right)\left(x+\dfrac{5}{\sqrt{3}}\right)

5 0
3 years ago
M∠GFZ = 38°, m∠ZFE = 2x+ 125, and m∠GFE = x+ 163. Find x.
igomit [66]

Answer:

equation : 38 + 2x + 125 = x + 163

x : 0

if GFE is the entire thing, and GFZ and ZFE are adjacent angle(connected by a line), then GFZ + ZFE = GFE

hope this helps :)

7 0
3 years ago
Anyone, please help me please answer my question because I have to pass this tomorrow morning:(
Wittaler [7]

Step-by-step explanation:

If you need help with how I got my answer, you can ask me.

\frac{2yx {}^{ - 4} }{(x {}^{ - 4}y {}^{4}) {}^{3}  \times 2x {}^{ - 1}y {}^{ - 3}    }

\frac{2yx {}^{ - 4} }{x {}^{ - 12}y {}^{12}   \times 2x {}^{ - 1}y {}^{ - 3}  }

\frac{2y x {}^{ - 4}  }{2x {}^{  - 13} y {}^{ - 9} }

= x {}^{9} y {}^{ - 8}

=  \frac{x {}^{9} }{y {}^{8} }

12.

( \frac{2u {}^{  4} }{ - u {}^{2}v {}^{ - 1}   \times 2uv {}^{ - 4} } ) {}^{ - 1}

( \frac{2u {}^{4} \times 1 }{ - 2 {u}^{3}v {}^{ - 5}  } ) {}^{ - 1}

( - u v {}^{ 5} ) {}^{   - 1}

=  - u {}^{ - 1} v {}^{ - 5}  =   - \frac{ 1}{uv {}^{5} }

13.

-   \frac{2m {}^{4}n {}^{ - 1}  }{( - m {}^{2}n {}^{ - 2}) {}^{ - 1}    \times  - nm {}^{ - 3} }

-  \frac{2m {}^{4}n {}^{ - 1}  }{ - m {}^{ - 2} n {}^{2}  \times  - nm {}^{ - 3} }

-  \frac{2m {}^{4} n {}^{ - 1} }{m {}^{ - 5}n {}^{3}  }  =  - 2m {}^{9} n {}^{ - 4}

=   - \frac{2m {}^{9} }{n {}^{4} }

14.

( \frac{x {}^{3}y {}^{ - 4}  }{ -  {x}^{2} y {}^{ - 3} \times yx {}^{0}  } ) {}^{3}

( \frac{x {}^{3}y {}^{ - 4}  }{ -  {x}^{ - 2}y {}^{ - 2}  } ) {}^{3}

( -  {x}^{5} y {}^{ - 2} ) {}^{3}  =  -  x {}^{15} y {}^{ - 6}

-  \frac{x {}^{15} }{ {y}^{6} }

15.

-  \frac{yx {}^{4} \times  -  {y}^{3}  z { }^{ - 4} }{(z {y}^{2} ) {}^{4} }

-  \frac{ - y {}^{4} x {}^{4} z {}^{ - 4} }{ {z}^{4} y {}^{8} }  =  - y {}^{4} x {}^{4} z {}^{ - 8}  =  -  \frac{(xy) {}^{4} }{ {z}^{8} }

16.

\frac{h {}^{7}j  {k}^{4} }{4h {}^{4} }  =  \frac{1}{4} h {}^{3}  =  \frac{h {}^{3} jk {}^{4} }{4}

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Answer:

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Step-by-step explanation:

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