30pts
complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 8x - 10 = 18
a) (x - 8)2 = 14
b) (x - 4)2 = 44
c) (x - 8)2 = -14
d) (x - 4)2 = -44

B:  (x - 4)² = 44

Step-by-step explanation:

Start with x^2 - 8x - 10  =  18.

Simplify the constants by adding 10 to both sides:  x^2 - 8x - 10 + 10 = 18 + 10.

Then x^2 - 8x = 28.

Now identify the coefficient of x.  It is -8.  

Take half of this, obtaining -4.

Square this result, obtaining 16.

Add 16, and then subtract 16, to x^2 - 8x:

x^2 - 8x + 16 - 16 = 28.

Add 16 to both sides:

x^2 - 8x + 16 = 28 + 16 = 44

Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:

(x - 4)² = 44.  This is in the form (x - p)² = 44, and matches Answer B.

Note:  Please use " ^ " to indicate exponentiation:  (x - 4)^2 = 44

v: l•w•h÷2.

v: 20•6•8 ÷2

v: 960÷2

v: 480

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this