Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it? 4 m squared + 25 n squared; a perfect square trinomial
4 m squared + 25 n squared; the difference of squares
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
4 m squared minus 20 m n + 25 n squared; the difference of squares

The answer is C.

(2m + 5n)² = (2m + 5n)(2m + 5n)

Each term in the second factor is multiplied by each term in the first factor, that is

2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis

= 4m² + 10mn + 10mn + 25n² ← collect like terms

= 4m² + 20mn + 25n² ← perfect square trinomial

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: