Solve for x in terms of y: 5y = 3x + 2

d. x = 1/3 (5y - 2)

Step-by-step explanation:

5y = 3x + 2 (subtract 5y and 3x on both sides)

-3x = -5y + 2 (divide by -3 or multiply by 1/3)

x = 1/3 (5y - 2)

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.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x