Write the simplest polynomial function with the given roots 1/2,5, and -2

Step-by-step explanation:

Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;

P(x) = (x - 1/2)(x - 5)(x+2)

Expand;

(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2

(x - 1/2)(x - 5) = x²-11x/2 + 5/2

P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10

P(x) = x³-7x²/2-39x/2 + 10

Hence the required polynomial is x³-7x²/2-39x/2 + 10

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!