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vampirchik [111]
3 years ago
7

Which of the following shows the correct value of the square root of 175?

Mathematics
2 answers:
Deffense [45]3 years ago
3 0
None of the answers are correct. The square root of 175 should lie between 13, who's square is 169, and 14, who's square is 196.
Nesterboy [21]3 years ago
3 0
The square root of 175 is 13.2287565553 ect.
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Is it true that the planes x + 2y − 2z = 7 and x + 2y − 2z = −5 are two units away from the plane x + 2y − 2z = 1?
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First we'll find the equation of ALL planes parallel to the original one.

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Equation of a plane parallel to other

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Or

<span>x+2y−2z+d=0</span> [1]
where <span>a=1</span>, <span>b=2</span>, <span>c=−2</span> and <span>d=−<span>x0</span>−2<span>y0</span>+2<span>z0</span></span>

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As a model consider this lesson:

Distance between 2 parallel planes

In the original plane let's choose a point.
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<span>x+2y−2z=1</span> => <span>0+2⋅0−2z=1</span> => <span>z=−<span>12</span></span>
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In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping <span>D=2</span>, and d as d itself, we get:

<span><span>D=<span><span>|a<span>x1</span>+b<span>y1</span>+c<span>z1</span>+d|</span><span>√<span><span>a2</span>+<span>b2</span>+<span>c2</span></span></span></span></span>
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<span>→x+2y−2z+5=0</span>Second solution:
<span>d+1=−6</span> => <span>d=−7</span>
<span>→x+2y−2z−7=<span>0</span></span></span>
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