The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represents an even integer then X +2 represents the next consecutive even integers

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ( and ) is (=) 44 (44)"

this means the following:

solve for x to find the smaller integer

first, expand

The 2 integers are 10 and 12

y = x + 95

y = 42 + 95

y=137 mm hg

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.