Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:

Take RHS
8+ 27
We can write 8 as
and 27 as
.
then;
8+27 = 
Now, use the sum of cubes identity;
here a =2 and b = 3

or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
The kids have to wait for 1 hour to get their bags.
<u>Step-by-step explanation:</u>
Given that,
A bus with kids and a truck with their bags started moving from the school to the camp at the same time.
- The speed of the bus was 60 mph.
- It took kids 3 hours to reach the camp.
<u>To find the distance traveled by the bus :</u>
⇒ Distance = Speed × Time
⇒ 60 × 3
⇒ 180 m
∴ The distance is 180 m.
<u>To find the time taken by the truck to reach the camp :</u>
- The speed of the truck was 45 mph.
- We found the distance as 180 m.
Time taken = distance / speed.
⇒ 180 / 45
⇒ 4 hours.
∴ The time taken by the truck to reach the camp is 4 hours.
<u>To find how long the kids have to wait for their bags :</u>
The time taken by the truck to reach the camp - the time it took for the kids to arrive.
⇒ 4 hours - 3 hours
⇒ 1 hour.
∴ The kids have to wait for 1 hour to get their bags.
The area of the surface given by
is 1. In terms of a surface integral, we have

By multiplying each component in
by 5, we have

and the same goes for the derivative with respect to
. Then the area of the surface given by
is

Answer:
I would say 49 is your answer
Step-by-step explanation:
53 plus 78 qould equal 131
subtract 131 from 180 and you get 49
add up all your numbers including x then they should all equal 180