Math, asked by shivendra7242, 1 month ago

Water is pumped from the bottom of a well to the top of a storage tank. The well extends -50 m from the ground and the tank is 30 m above the ground. There is a 10 m long horizontal portion of the pipe from the well to the tank. Water runs at 2m/min. How much distance does the water have to travel to reach the tank from the well? How long will it take the water to reach the tank from the well?

Answers

Answered by umasahu871999
0

Answer:

Radius, r = 4, and center (h, k) = (-2, 3).

We know that the equation of a circle with centre (h, k) and radius r is given as

→ (x – h)² + (y – k)² = r² \: \: \: ….(1)→(x–h)²+(y–k)²=r²….(1)

Now, substitute the radius and center values in (1), we get

Therefore, the equation of the circle is

→ (x + 2)²+ (y – 3)² = (4)²→(x+2)²+(y–3)²=(4)²

→ x²+ 4x + 4 + y² – 6y + 9 = 16→x²+4x+4+y²–6y+9=16

Now, simplify the above equation, we get:

→ x² + y²+ 4x – 6y – 3 = 0→x²+y²+4x–6y–3=0

Thus, the equation of a circle with center (-2, 3) and radius 4 is :

→ x² + y²+ 4x – 6y – 3 = 0→x²+y²+4x–6y–3=0

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