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Dima020 [189]
3 years ago
7

Write the expression as a sum of a difference of cubes and factor it: 1/64m^3+1000

Mathematics
1 answer:
yarga [219]3 years ago
3 0

Answer:

(1\64m + 20) (1\4096m^2 - 5\322m + 100)

Step-by-step explanation:

use a^3 + b^3 = (a+b)(a^2 - ab + b^2) to factor the expression = (1\64m+10)(1\4096m^2 - 10\64m + 100)

reduce the fractions with 2 = (1\64m + 10)(1\4096m^2 - 5\32m + 100)

= (1\64m + 20) (1\4096m^2 - 5\322m + 100)

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Find the distance between the two points in simplest radical form.<br> (-1,9) and (4, -3)
jolli1 [7]

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

\bullet  \: \:  x _{1} = - 1 \\ \bullet \: \:  x _{2} = 4 \\ \bullet \: \:   y _{1} = 9 \\ \bullet \: \:    y _{2} =  - 3 \\

Using Distance formula :

=  >  \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\  =  > \sf  d = \sqrt{ ({ 4  + 1)}^{2} + { ( - 3 - 9)}^{2} } \\  \\ =  >  \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} }  \\ \\  =  > \sf d = \sqrt{25 + 144}  \\ \\  =  > \sf d = \sqrt{169}  \\ \\ =  > \boxed{ \sf{  d = 13\:units }}\\

8 0
3 years ago
If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to fi
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Step-by-step explanation:

The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths

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21.25= B^2

4.609=B

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3 years ago
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