The Pythagorean theorem

please help answer all the questions

Step-by-step explanation:

A.)

256 + 400 =

656 =

25.6 = c

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B.)

625 + 100 =

725 =

26.9 = c

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C.)

144 + 100 =

244 =

15.6 = c

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D.)

676 + 576 =  

1,252 =  

35.4

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Sry it takes a lot of time to put in these equations and all that

Hope it helped!

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

answer: finding the extract measurements and knowing the points

step-by-step explanation: