Which statements are true?

Mathematics

1 answer:

lyudmila [28]3 years ago

5 0

Answer:

the true statement is

All parallelograms are quadrilaterals

Step-by-step explanation:

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3 years ago

Elena is 56 inches tall. What is her height in centimeters? (Note: 100 inches = 254 centimeters) What is her height in meters?

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Answer:

142.24cm

Step-by-step explanation:

If 100 inches = 254cm then if you do 254/100 you will get how many cm are in an inch. 254/100 = 2.54

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4 years ago

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Step-by-step explanation:

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$