Answer:
Step-by-step explanation:
Factor the sum of cubes
a³ + b³ = (a+b)(a² - ab +b²)
= 2a² - 2ab + 2b²
a³ + b³ + 6ab = 2a² + 4ab + 2b²
= 2(a² + 2ab +b²)
= 2(a+b)²
= 8
The answers are:
__________________________
[B]: "√12 " ; AND:
__________________________
[D]: "<span>√20" .
__________________________
Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A) "</span><span>√9" = 3 . Rule out this choice.
__________________________________
Choice C) "</span><span>√16" = 4 . Rule out this choice.
__________________________________
Choice E) "</span><span>√25" = 5. Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
[B]: "</span>√12" ; and: [D]: "<span>√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
____________________________
[B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
_________________________________
These two answer choices should the correct answers.
Answer:
= 2 1/4 feet
Step-by-step explanation:
Length of chain Jesse needs = 10 1/4 feet
Length of chain Jesse has:
Two small pieces each measuring 2 1/8 feet
= 2 × 2 1/8 feet
= 2 × 17/8
= 34/8 feet
Third piece measuring 3 3/4 feet
Total Length of chain Jesse has = 34/8 feet + 3 3/4 feet
= 34/8 + 15/4
= 34+30/8
= 64/8
= 8 feet
Total Length of chain Jesse has = 8 feet
Length of chain Jesse needs to purchase = Length of chain Jesse needs - Total Length of chain Jesse has
= 10 1/4 feet - 8 feet
= 2 1/4 feet
Length of chain Jesse needs to purchase = 2 1/4 feet
