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4 years ago

Can anyone help with this problem ?

Mathematics

2 answers:

antoniya [11.8K]4 years ago

7 0

Answer:

just trying to get points sorry dfefahdhehhh

Step-by-step explanation:

White raven [17]4 years ago

3 0

Answer:

x=155

y=90

Step-by-step explanation:

Hope I did this right lol, it's been a while.

Here are your two systems of equations:

3x + 2y = 645

5x +4y = 1135

x represents one night stay at hotel

y represents one pair of baseball tickets

Multiply top equation by 2

Multiply bottom equation by -1 and subtract the two equations to find x:

3x(2) + 2y(2) = 645(2) --> 6x + 4y = 1290

5x(-1) + 4y(-1) = 1135(-1) -> -5x -4y = -1135

New equation= 1x = 155

plug 155 into either equation to find y (I chose the top equation):

3(155) + 2y = 645

465 + 2y = 645

2y = 180

y = 90

Good luck ;)

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3 years ago

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

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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.

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

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

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

$\overrightarrow n=$

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4 years ago

Please help

Rudiy27

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Answer:

Step-by-step explanation:

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