Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?
8
32
64
256

64

Step-by-step explanation:

Given

we need to find a number that makes perfect square

We apply completing the square method

In completing the square method, take the coefficient of x  , divide it by 2  and then square it

coefficient of x  is 16

16 divide by 2 is 8

So 64 will be added to the given expression to make perfect square trinomial .

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.