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3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!???????????!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

shutvik [7]3 years ago

3 0

Answer:

Step-by-step explanation:

m<ARL and m<LRB together equal 180 degress.

x=37.4

So 2(37.4)-5 is

m<LRB=69.8

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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.

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

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

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

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3 years ago

Diego runs 7 miles in 63 minutes. Use the table below to determine how long it would take Diego to run 4 miles at this rate.

Katarina [22]

The answer is c no problem !

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Do diagonals of a rhombus bisect the vertex angles???

katrin [286]

Answer:

Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.

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2 years ago

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nikdorinn [45]

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Goshia [24]

Answer:

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Step-by-step explanation:

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