<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
The coefficient would be 2.
Answer:
Wish i can help but i don't understand that
Step-by-step explanation:
Algebra i am really bad at this so don't take my word for it i think maybe 20 SORRY IF WRONG
Answer:
D
Step-by-step explanation:
Interesting question. The wording is a bit awkward. I think you have to assume the base is a square and each succeeding base is also a square.
So the first thing to do is to add the bases together.
30*30 + 23*23 + 16*16 + 9*9
Don't add these -- not yet.
Now take the height into consideration
6 *(30*30 + 23*23 + 16*16 + 9*9)
The point is that you only have to multiply by 6 once.
6*(900 + 529 + 256 + 81)
6*(1766)
10596 cubic inches
The answer is D
