Answer: 6i) 6a² - 2ab
6ii) -2b³
6iii) b³ + 7b² - 49b
<u>Step-by-step explanation:</u>
6i) (a + b)(5a - 3b) + (a - 3b)(a - b)
= 5a² - 3ab + 5ab - 3b² + a² - ab - 3ab + 3b²
= 5a² + 2ab - 3b² + a² - 4ab + 3b²
= 6a² - 2ab
6ii) (a - b)(a² + b² + ab) - (a + b)(a² + b² - ab)
= a³ + ab² + a²b - ab² - a²b - b³ - (a³ + ab² - a²b -ab² + a²b + b³)
= a³ - b³ - (a³ + b³)
= a³ - b³ - a³ - b³
= -2b³
6iii) (b² - 49)(b + 7) + 343
= b³ + 7b² - 49b - 343 + 343
= b³ + 7b² - 49b
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Please post #7 on a different question.
Answer:
28 cm
Step-by-step explanation:
Given that :
Area = 791 cm
Base, b1 = 26.5 cm
Base, b2 = 30 cm
Area, A of trapezoid :
A = 1/2 (a + b) h
Where a and b are the bases ;
791 = 1/2(26.5 + 30)h
791 = 0.5(56.5)h
791 = 28.25h
h = 791 / 28.25
h = 28 cm
Hi there! The answer is 10 miles.
Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )
We end up with the following equation

Subtract 5 from both sides.

Divide both sides by 10.

Therefore, Emma had a taxi ride of 10 miles.
Answer:
Undefined
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
140 = 80 + z
z = 60