Answer:




Step-by-step explanation:
Given
See attachment
From the attachment, we have:


First, we need to calculate length LM,
Using Pythagoras theorem:



Collect Like Terms



Solving (a): 


Substitute values for MN and LN


Solving (b): 


Substitute values for LM and MN


Solving (c): 


Substitute values for LN and LM


Solving (d): 


Substitute values for LM and LN


Answer:
Rate in relationship A = (6 - 3)/(8 - 4) = 3/4 = 0.75
For Table A: Rate = (3 - 1.2)/(5 - 2) = 1.8/3 = 0.6
For table B: Rate = (3.5 - 1.4)/(5 - 2) = 2.1/3 = 0.7
For table C: Rate = (4 - 1.6)/(5 - 2) = 2.4/3 = 0.8
For table D: Rate = (2 - 1.5)/(4 - 3) = 0.5/1 = 0.5
Therefore, the correct answer is option C.
<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)
2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
Prime factorization of 1728 is 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
Simplifying the above expression: 26 × 33
Simplifying further: 123
Therefore, the cube root of 1728 by prime factorization is (2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)1/3 = 12
First you'd subtract .58 from 2.23 to get the price of the notebook.
2.23 - .58 = 1.65
(2.23×2)+1.65= 6.11
Now subtract 6.11 from ten to figure out the change amount.
10 - 6.11 = 3.89