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Murrr4er [49]
3 years ago
12

Water Tank A is being filled according to the formula, 3y=750x+300.

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer: All the time.

Step-by-step explanation:

Here,

x= elapsed time

y = number of gallons of water in tank.

For tank A,

3y=750x+300

Divide both sides by 3, we get

y= 250x+100 ...(i)

For tank B,

4y=1000x+400

Divide both sides by 4, we get

y=250+100 ...(ii)

From (i) and (ii) it can be seen that both the function are same.

That means the amount of watre will be same for every value of x, where x ≥0

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Answer:

The equation of the circle is (x+3)^2+(y-5)^2 = 17

Step-by-step explanation:

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If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find the midpoint of the​ diameter, which is the center of the circle. Then find the​ radius, which is the distance from the center to either endpoint of the diameter. Finally use the​ center-radius form to find the equation.

Find the center-radius  form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5).

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by \sqrt[]{(a-c)^2+(b-d)^2}. So, let us use (1,4) to calculate the radius.

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(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17

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