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algol [13]
3 years ago
9

Send it quick guys...

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

(7 + 4√3)² + (7 - 4√3)² = 194

Step-by-step explanation:

* Lets explain how to solve the problem

∵ a² + b² = (7 + 4√3)² + (7 - 4√3)²

- Lets solve each bracket alone then add the two answers

# Remember (a + b)² = (a)² + 2(a)(b) + (b)²

∵ (7 + 4√3)² = (7)² + 2(7)(4√3) + (4√3)²

∵ 7² = 49

∵ 2(7)(4√3) = 2 × 7 × 4 × √3 = 56√3

∵ (4√3)² = (4)² × (√3)² = 16 × 3 = 48

∴ (7 + 4√3)² = 49 + 56√3 + 48

- 49 and 48 are like terms

∴ (7 + 4√3)² = 97 + 56√3 ⇒ (1)

# Remember (a - b)² = (a)² - 2(a)(b) + (b)²

∵ (7 - 4√3)² = (7)² - 2(7)(4√3) + (4√3)²

- All the numbers like the first bracket except the middle sign, then

 all the answer will be the same except the middle sign will be (-)

∴ (7 - 4√3)² = 49 - 56√3 + 48

∴ (7 - 4√3)² = 97 - 56√3 ⇒ (2)

- lets add answers (1) and (2)

∴ (7 + 4√3)² + (7 - 4√3)² = 97 + 56√3 + 97 - 56√3

∴ (7 + 4√3)² + (7 - 4√3)² = (97 + 97) + (56√3 - 56√3)

∵ 97 + 97 = 194

∵ 56√3 - 56√3 = 0

∴ (7 + 4√3)² + (7 - 4√3)² = 194

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Step-by-step explanation:

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4 years ago
Rashad compiled a list of fixed expenses and noted his total expenses for last month.
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The equation that represents the variable expences for the february is

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The linear equation is an equation where highest degree of the variables is 1.

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Total Expenses = Variable Expenses +Fixed Expenses

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Hence to Determine variable expenses Rashad needs we have to subtract his fixed expenses from his total expenses for the month.

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Therefore The equation that represents the variable expences for the february is   x+ $1943.48 = $3,291.74

Learn more about the linear equation

here: brainly.com/question/2030026

#SPJ10

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Step-by-step explanation:

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Step-by-step explanation:

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