Answer:
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Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
Answer:
Factoring the expression 
completely we get 
Step-by-step explanation:
We need to factor the expression completely
We need to find common terms in the expression.
Looking at the expression, we get 
is common in both terms, so we can write:
So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
So, we get:
Therefor factoring the expression completely we get
Step-by-step explanation:
y = -2x + 1. => Slope = -2
Then the perpendicular line will have a slope of -1/(-2) = 0.5.
We have y = 0.5x + c.
When x = 4, y = -3.
=> (-3) = 0.5(4) + c, c = -5.
Hence the answer is y = 0.5x - 5. (C)
