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3 years ago

Water come out of a pipe at a rate of 16 gallons per minute. How many gallons have come out after 4 minutes

Mathematics

1 answer:

alina1380 [7]3 years ago

7 0

Answer:

64 gallons

Step-by-step explanation:

Ask yourself; if

16gallons = 1minute

? = 4minutes

Cross multiply;

(16 × 4) ÷ (1) = 64

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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

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Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

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2 years ago

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3 years ago

Water come out of a pipe at a rate of 16 gallons per minute. How many gallons have come out after 4 minutes​

Water come out of a pipe at a rate of 16 gallons per minute. How many gallons have come out after 4 minutes