Math, asked by SanikaMehera, 2 months ago

While travelling from Alwah to Barogh, one crosses the busy hamlet of Chagotkar. The road

from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh.

The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the

distance of the road connecting Alwah and Chagotkar.

Ayushi is an engineer looking after the project of building a direct bypass road that would

connect Alwah and Barogh and has proposed to construct a 17 km direct bypass road between

the two cities.

->The equation which represents the above situation algebraically is-

a)

2 + 7 − 120 = 0

b)

2 + 5 − 120 = 0

c) 8

2 + 7 − 120 = 0

d)

2 + 2 − 120 = 0​

Answers

Answered by aayushisingh18
0

Step-by-step explanation:

answer is x²+7x -120=0

As you haven't putted x but that's fine. the answer is option A. ....hope it helps you

Answered by amitnrw
1

Given : The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh.

The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar.

Ayushi is an engineer looking after the project of building a direct bypass road that would connect Alwah and Barogh and has proposed to construct a 17 km direct bypass road between the two cities.

To Find :

The equation which represents the above situation algebraically is-

a) x² + 7x − 120 = 0

b) x² + 5x − 120 = 0

c) 8x² + 7x − 120 = 0

d) x² + 2x − 120 = 0​

Solution :

 Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.

x² + (x + 7)² = 17²

=> x² + x² + 14x + 49 = 289

=> 2x² + 14x - 240 = 0

=> x² + 7x - 120 = 0

x² + 7x − 120 = 0  represents the   situation algebraically

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