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Svet_ta [14]
3 years ago
7

A garden has the shape of a right triangle with one leg 6 meters longer than the other. The hypotenuse is 6 meters less than twi

ce the length of the shorter leg. Find the length of the shorter leg.
Mathematics
1 answer:
GalinKa [24]3 years ago
8 0
We need to write system of equations to solve this problem.
we have 3 unknown variables.
a,b,c   which are shorter leg, longer leg and hypotenuse.

b = a+6
c+6 = 2*a

c^2 = a^2 + b^2
(2a - 6)^2 = a^2 + (a+6)^2
4a^2 - 24a + 36 = a^2 + a^2 + 12a + 36
2a^2 = 36a
a^2 = 18a
a = 18
b = 24
c = 30
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Answer:

see explanation

Step-by-step explanation:

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f(1) = 4(1)³ - 7(1)² - 2(1) + 6

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+ 18 c d e f a^2 + 3 b^2 d^3 a + 3 c^2 d^3 a \\+ 6 b c d^3 a + 3 b^2 e^3 a + 3 c^2 e^3 a + 6 b c e^3 a + 3 b^2 f^3 a \\+ 3 c^2 f^3 a + 6 b c f^3 a + 9 b^2 d e^2 a \\+ 9 c^2 d e^2 a + 18 b c d e^2 a + 9 b^2 d f^2 a\\ + 9 c^2 d f^2 a + 18 b c d f^2 a + 9 b^2 e f^2 a + 9 c^2 e f^2 a + 18 b c e f^2 a + 9 b^2 d^2 e a \\+ 9 c^2 d^2 e a + 18 b c d^2 e a + 9 b^2 d^2 f a + 9 c^2 d^2 f a + 18 b c d^2 f a \\+ 9 b^2 e^2 f a + 9 c^2 e^2 f a + 18 b c e^2 f a

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