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Dafna1 [17]
3 years ago
6

Planes Q and R are parallel. Explain how you know lines a and b are skew.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

We don't know that they skew but if Q and R are the same length then they aren't. But if Q and R are different lengths then they are skew. It would help to post a picture.

Step-by-step explanation:

lina2011 [118]3 years ago
6 0

Answer:

Skew lines are noncoplanar and do not intersect. Line a lies in plane Q and line b lies in plane R, so the lines are not coplanar. No other plane can be drawn through the lines, so they are not parallel. So, a and b are skew.

Step-by-step explanation:

edge2020

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Answer:

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3 years ago
Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

x+2=xr

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

x+3=xr^2

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

\displaystyle r=\frac{x+2}{x}

Substitute this into the third equation:

\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2

Square:

\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)

Simplify:

\displaystyle x+3=\frac{(x+2)^2}{x}

We can multiply both sides by <em>x: </em>

x(x+3)=(x+2)^2

Expand:

x^2+3x=x^2+4x+4

Isolate the <em>x: </em>

-x=4

Hence, our first term is:

x=-4

Then our common ratio <em>r</em> is:

\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

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3 years ago
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Answer:

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Step-by-step explanation:

\frac{5}{8}y-12=-7 \\ \\ \frac{5}{8}y=5 \\ \\ y=8

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1 year ago
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
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