Simplify -3p 3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p 3). select the answer in descending powers of p.

a.1 - 7p - 2p2 + 5p3
b.5p3 - 2p2 - 7p + 1
c.1 + 7p + 2p2 - 5p3
d.-5p3 + 2p2 + 7p + 1

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.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870