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Liono4ka [1.6K]
3 years ago
9

Two distinct planes intersect describe their intersection

Mathematics
2 answers:
astra-53 [7]3 years ago
7 0
If two planes intersect<span>, then </span>their intersection<span> is a line (Postulate 6). A line contains at least </span>two<span> points (Postulate 1). If </span>two<span> lines </span>intersect<span>, then exactly one </span>plane 
<span>contains both lines (Theorem 3).</span>
Sholpan [36]3 years ago
5 0

Answer:

The answer is line.

Step-by-step explanation:

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1/4=25%
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Select the factors that can be divided out to simplify the multiplication problem: 4/26 x 13/20. Select all that apply. A. 2 B.
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\dfrac{4}{26}  \times  \dfrac{13}{20}

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Divide by factor of 4.
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<em>*Or divide by the factor of 2 twice</em>

\dfrac{1 \times 4}{26}  \times  \dfrac{13}{5 \times 4}

\dfrac{1}{26}  \times  \dfrac{13}{5}

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Divide by factor of 13.
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\dfrac{1}{2 \times 13}  \times \ \dfrac{1 \times 13}{5}

\dfrac{1}{2}  \times  \dfrac{1 }{5}

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Combine into single fraction.
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\dfrac{1}{10}

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Answer: The factors are 2, 4 and 13
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Area of the Region Between Curves-Please help.
Neporo4naja [7]

Answer: 32/3

Step-by-step explanation:

To find the area of the region between the curves, you first want to find the interval of both curves. You can do that by setting both curves equal to each other.

-\frac{1}{2}x^2+2=\frac{1}{2}  x^2-2                   [subtract both sides by 2]

-\frac{1}{2}x^2= \frac{1}{2} x^2-4                         [subtract both sides by \frac{1}{2} x^2]

-x^2=-4\\x=2,-2        

Now that we know the interval, we set this into an integral and subtract the top curve by the bottom curve. *Note: I can't type in -2 into the interval, therefore only a "-" will be displayed.

\int\limits^2_- {|-\frac{1}{2}x^2+2-(\frac{1}{2}x^2-2) | } \, dx                     [distribute -1]

\int\limits^2_-{|-\frac{1}{2}x^2+2-\frac{1}{2}x^2+2  |} \, dx                       [combine like terms]

\int\limits^2_- {|-x^2+4|} \, dx                                          [solve integral]

\frac{32}{3}

The area between the curves is 32/3. This was also the reason why we had the absolute values because <u>area can never be negative</u>.

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