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trapecia [35]
3 years ago
13

HELP ASAP question 5!!!

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\  \\  \therefore \: 6 {x}^{2}  - 21x+ 3 {x}^{2}  + 4x = 85 \\  \\ \therefore \: 6 {x}^{2}  + 3 {x}^{2} - 21x + 4x  - 85 = 0 \\  \\ \huge \red {\boxed {\therefore \: 9 {x}^{2}  - 17x  - 85 = 0}} \\ hence \: proved.

docker41 [41]3 years ago
3 0

Answer:

Step-by-step explanation:

(3x + 4)(x) + (2x - 7)(3x) = 85

3x² + 4x + 6x² - 21x = 85

9x² - 17x - 85 = 0

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Fourth term: 5 1/2

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Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

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Fourth term:

A(4) = 5 + (4-1) (1/6)

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A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

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3 years ago
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