Answer:
<h3>72 units</h3>
Step-by-step explanation:
Given D,E, and F are collinear points and E is between D and F, then the expression DE + EF = DF.... 1 is true
If DE is six times the length of EF, then;
DE = 6DF
DF = DE/6 .....2
Substitute equation 2 into 1;
DE + EF = DF
DE + DE/6 = DF
find the LCM
(6DE+DE)/6 = DF
cross multiply
6DE+DE = 6DF
7DE = 6DF
Given DF = 84units
7DE = 6(84)
7DE = 504
Divide both sides by 7
7DE/7 = 504/7
DE = 72
Hence the length of segment DE is 72units
The difference between the two polynomials is 11x²3y³ - 4xy².
<h3>What is the Difference between the Polynomials?</h3>
The difference between two polynomials is the result you get by subtracting one from the other.
Thus:
= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y
= 11x²3y³ - 4xy²
Learn more about polynomials on:
brainly.com/question/2833285
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Answer:
1) 5 ( 4h - 1 )
2) 5 ( 3r + 7 )
3) 2( -2p +5 )
Step-by-step explanation:
For no. 1 you have to find a <u>common factor (</u>a number that divides into both 20 and 5) which is 5 because 20 divided by 5 is 4 and 5 divided by 5 is 1. so you have to do 20h divided by 5 which is 4h (don't forget the h ! ) and you do -5 divided by 1 which is -1. Remember when you do any multiplying or dividing questions with negatives and positives :
minus + minus = minus (-5*-6 = -30)
positive + positive = positive (5*6 = 30) * equals multiplacation by the way
minus + positive = minus (-5*6 = -30)
positive + minus = minus (5*-6 = -30)
hope this helped xx
