Option A: 
Option C: 
Option F: 
Solution:
Given expression is 
.
Option A:
Hence is equivalent expression of .
Option B: 
Hence is not equivalent expression of .
Option C:
(proved in option A)
Hence is equivalent expression of .
Option D: 
Hence is not equivalent expression of .
Option E: 75
75 is a whole number.
Hence 75 is not equivalent expression of .
Option F:
(proved in option A)
Hence is equivalent expression of .
Therefore, 
are all equivalent expressions of .
Answer:
4x - 20
Step-by-step explanation:
Combine like terms (those with the same amount of variables:
x + x + x + x = 4x
4x - 20 => Note: You cannot combine these two terms, because they do not have the same amount of variables (one having one variable (x), the other being a constant (no variable) ).
~
Answer:
"The length of the resulting line segment is 20 units because translations preserve length"
Step-by-step explanation:
A translation, in maths, is the movements of a geometric shape/line in certain direction. There is no rotation, re-sizing, or alteration. It simply "moves" the line/shape in a direction. The length is not altered in any way. Translation preserves length, every point just changes place.
When we translate a figure/line, we are simply moving it elsewhere, keeping all else constant.
In this problem, the line segment at hand is 20 units and it is translated 6 units up and 8 units left. So the location of the line changes, but the length is preserved. So, 2nd answer choice is right:
"The length of the resulting line segment is 20 units because translations preserve length"
I think this helps, like a lot!
<span>Josh swims 5 more hours per week than David so his hours = 3x + 5
His </span><span>average speed is 4 laps per hour less than David's so it is = x - 4
</span>
Total distance = hours * speed
= (3x + 5)*(x - 4)
= 3x^2 - 7x - 20
Ans is C
