Answer:
The correct option is (D).
Step-by-step explanation:
The two expressions are:

On simplifying both the expressions we get:

Compute the value of both expressions for <em>x</em> = 2 as follows:

The value of both expressions are same for <em>x</em> = 2.
Thus, the correct option is:
"They are equivalent because when x = 2, the two expressions have the same value."
Answer:
The answer would be 7mn^5 - 2m^6 + 14m^2n^4 - 5m^3n^3 + n^6
Step-by-step explanation:
In order to find that answer, start by grouping all of the terms by their variable values. Ones that are the same should be combined.
8mn^5 - mn^5 = 7mn^5
2m^6 - 4m^6 = -2m^6
5m^2n^4 + 9m^2n^4 = 14m^2n^4
-m^3n^3 - 4m^3n^3 = -5m^3n^3
n^6 = n^6
Now we simply combine them all to get
7mn^5 - 2m^6 + 14m^2n^4 - 5m^3n^3 + n^6
Answer:
Lines c and b, f and d (option b)
Step-by-step explanation:
To prove whether the lines satisfy the condition of being a transversal to another, let's prove one of the conditions wrong, and thus the answer -
Option 1:
Here lines a and b do not correspond to one another provided they are both transversals, thus don't act as transversals to one another, they simply intersect at a given point.
Option 2:
All conditions are met, lines c and b correspond with one another such that b is a transversal to both c and d. Lines f and d correspond with one another such that f is a transversal to both d and c.
Option 3:
Lines c and d are both not transversals, thus clearly don't act as transversals to one another.
Option 4:
Lines c and d are both not transversals, thus clearly don't act as transversals to one another.
B(1/2b-1)................
Answer:
The length of the box is 10 feet.
Step-by-step explanation:
You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10