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2 years ago

Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0

1 answer:

3 0

I just learned a short time ago how to convert a repeating decimal to a fraction.

-- Take the repeating part of the decimal. In this one, it's '764' .

-- Make a fraction out of it by writing it over the same number of 9s.

   The fraction here is 764/999 .

-- Simplify it if possible and if you feel like it.

   764/999 can't be simplified. (I think.)

So the rational expressions for this decimal are

   (5 and 764/999)   or   5759/999   .

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If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

$(x - x)^2 + (y-b)^2 = r^2$

First we will find the centre, (a , b):

$a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$

Find radius:

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

$diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\$

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

Equation of the circle is :

$(x - 1)^2 +(y-1)^2 = 13$

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3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

PIT_PIT [208]

Answer:

Step-by-step explanation:

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2 years ago

6x + 2x - 1 = 5x + 11

sammy [17]

6x + 2x - 1 = 5x + 11
      8x - 1 = 5x + 11
      - 5x    - 5x
      3x - 1 = 11
      + 1   + 1
   3x = 12
      3 3
   x = 4

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2 years ago

Carson buys 4 pounds of peaches for $12. How much did he spend per pound?

Inessa [10]

Answer: $3 per pound

Step-by-step explanation:

Since Carson buys 4 pounds of peaches for $12, you can find the value of one pound by dividing 4 by 4. You must also divide the 12 by 4. In conclusion, you pay $3 per pound.

7 0

3 years ago

Read 2 more answers

In the spring, the owner of a sporting goods store decreases the price of winter gloves from $10.00 to $8.00. She increases the

TEA [102]

Answer:

without doing the math, we can affirm that the percent in decrease in the price of the gloves is not the same as the percent increase of the goggles. decreasing $2 from $10 will have a lower decrease than an increase of $2 from $8 since $2 represents a higher portion of $8 compared to $10

Step-by-step explanation:

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2 years ago