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Inessa05 [86]
3 years ago
11

Find the distance between the two points in simplest radical form. (1,0) and (-8,3)

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

<h2>         3√10</h2>

Step-by-step explanation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(1,0)\quad\implies\quad x_1=1\,,\ \ y_1=0\\\\(-8,3)\quad\implies\quad x_2=-8\,,\ \ y_2=3\\\\d=\sqrt{(-8-1)^2+(3-0)^2}= \sqrt{(-9)^2+3^2}=\sqrt{81+9}\\\\d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt9\cdot\sqrt{10}=3\sqrt{10}\approx9.49

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It passes through both of the points.

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3 years ago
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What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth
expeople1 [14]
<h3><u>Given</u>:-</h3>

\rightarrowRadius(r) of sphere = 3m

<h3><u>To Find</u>:-</h3>

\rightarrow Volume of the sphere.

<h3><u>Formula Used</u>:-</h3>

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<h3><u>Solution</u>:-</h3>

\rightarrowVolume of sphere = \sf{\frac{4}{3}πr^3}(putting the value of r(radius) from the above given and pie(π) = \sf{\frac{22}{7}})

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Hope it helps you:)

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<em>Comment on the question</em>

The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.

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