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nataly862011 [7]

3 years ago

14

Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters

and 1 gallon = 3.785 liters?

1 answer:

alekssr [168]3 years ago

8 0

1.5 * 3.785 * 1000 milliliters

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Recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant does the line with equation

IgorC [24]

Answer:

At intersection

x=2.68

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Step-by-step explanation:

Equation of circle with center (h,k) and radius r is

$(x-h)^{2}+(y-k)^{2}=r^2\\\\With\,\, center\,\,(0,4)\,\, and\,\, r=3\\\\(x-0)^{2}+(y-4)^{2}=3^2\\\\x^2+(y-4)^{2}=9---(1)\\\\Equation\,\,of intersecting\,\,line\\y=0.5x+4---(2)$

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From (2)

$x=\frac{y-4}{0.5}=2(y-4)\\\\x^2=4(y-4)^{2}\\\\Put\,\,in\,\,(1)\\\\4(y-4)^{2}+(y-4)^{2}=9\\\\5(y-4)^{2}=9\\\\y-4=\frac{3}{\sqrt{5}}\\\\y=1.34+4\\\\y=5.34\\\\x=2(5.34-4)\\\\x=2(0.34)\\\\x=2.68$

At intersection

x=2.68

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This point of intersection can be checked in graph attached below

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