2, 4, 6, 8, 10, 12
difference is 2
Answer:
The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)
Step-by-step explanation:
Given that the time Louis spends commuting to the gym can be represented by two expressions:
Time to gym:
Time from gym:
To find the expression that represents the total time Louis spends commuting to and from the gym each day :
The total time Louis spends commuting to and from the gym each day is equal to the sum of the Time to gym and Time from gym
Total time Louis spends commuting to and from the gym each day=2x-6y+6x-10y
=8x-16y
=8(x-2y)
Therefore Total time Louis spends commuting to and from the gym each day is 8(x-2y)
The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)
Answer:
153
Step-by-step explanation:
i = square root of -1
i = √-1
(3+12√-1) (3-12√-1)
√a times √b = √ab
a√b times c√d = (a times c) √ (b times d)
9 - (36√-1) + (36√-1) - (144(√-1)^2) =
9 - 0 - (144 * -1) =
9 - 0 - (-144) =
9 - (-144) =
9 + 144 =
153
*** funny thing is if you put
(3+12i) (3-12i)
in a calculator
it works!
it gives you the answer 153
another way:
Expand the expression using
(a-b) (a+b) =
a²-b² :
3²-(12i)²
Simplify using exponent rule with same exponent
(a*b)^n =
a^n*b^n:
3²-12²* i²
Calculate the power:
9-144* i²
Rewrite by definition
i²=-1:
9–144×(−1)
Calculate the product or quotient: 9+144
Calculate the sum or difference: 153
Answer: 153
gathmath
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