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victus00 [196]
3 years ago
15

Factor x^10+5 using definition of the sum of squares.

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Recall the difference of squares identity,

a² - b² = (a - b) (a + b)

Let a = x⁵ and b = √5 i, so that a² = x¹⁰ and b² = (√5 i)² = 5 (-1) = -5. Then

x¹⁰ + 5 = x¹⁰ - (-5)

… = (x⁵)² - (√5 i)²

… = (x⁵ - √5 i) (x⁵ + √5 i) … … … [C]

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Put the following in order from smallest to largest 1 - 0.29 - 23% - 1 - 0.027
valentinak56 [21]
1 ; 0.29 ; 23% ; 1 ; 0.027 ; 4.5

23% is 0.23

smallest to largest:

0.027 ; 23% ; 0.29 ; 1 ; 1 ; 4.5

If in percentage form, multiply each in 100%

0.027 x 100% = 2.7%
23% already in % form, as is = 23%
0.29 x 100% = 29%
1 x 100% = 100%
4.5 x 100% = 450%
8 0
3 years ago
Please help on one math question
kipiarov [429]

Hello from MrBillDoesMath!

Answer:

225

Discussion:

Sum ( 2n - 1)                  from  n = 1 to 15              

= Sum(2n) - Sum(1)        from n = 1 to 15

= 2 Sum(n) - Sum(1)       from n = 1 to 15

= 2* 15(15+1)/2  - (1 + 1 + .. + 1)

The first value comes from the fact that the sum of the first n integers is  n(n+1)/2. The latter value sums 15 1's.

= 2 * 15 * 16/2 - 15                    => 2/2 = 1

= 15*16 - 15                               => 15*16 = 240

= 240 - 15

= 225

Thank you,

MrB

6 0
3 years ago
Read 2 more answers
Someone help plzzz!!! This is due today before 11pm
monitta

Answer:

1470.24 in^3

Step-by-step explanation:

Square: 12*6*11=792

Circle: 6*(3.14*6^2)=678.24

792+678.24=1470.24

6 0
3 years ago
Which equation represents the line that passes through the points (4, 6) and (-2, -1)?
marissa [1.9K]

Answer:

y = 7/6x + 4/3

Step-by-step explanation:

find slope first

change in y over the change in x

-1-6/-2-4 = -7/-6 = 7/6

to be extra sure use this formula to find the y-intercept or b

y - 6 = 7/6 (x -4)

you can plug in either point

solve for y and you have the equation in slope intercept form or y=mx+b

3 0
3 years ago
You found DVDs on sale. Six DVDs would cost you $47.94. What is the cost per DVD?
STALIN [3.7K]
Total cost divided by total DVDs
47.94 divided by 6.
6 0
3 years ago
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