Write an expression in factored form that is equivalent to the expression 3/4x+ 24

Step-by-step explanation:

3/4x + 24 should be written as (3/4)x + 24, so that it is clear that the coefficient of x is 3/4.

(3/4)x + 24 can be rewritten by factoring the 24:  (3/4)x + (3)(8).

We can now factor out the 3 from both terms:  3[x/4 + 8]

alternatively, we could write

12[x/4 + 8]       3x + 24          3(x + 8)

=    =    

        4                    4                   4

... which is in factored form as required.

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.

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