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Taya2010 [7]
3 years ago
9

3X+[-1 -2] = [-13 -2] 10 -7 -5 14

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

x= −668/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−1−2=(−13−2)(10)−7−514

3x+−1+−2=−150+−7+−514

(3x)+(−1+−2)=(−150+−7+−514)(Combine Like Terms)

3x+−3=−671

3x−3=−671

Step 2: Add 3 to both sides.

3x−3+3=−671+3

3x=−668

Step 3: Divide both sides by 3.

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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>.

8 0
3 years ago
Which equation represents a line which is parallel to x = 0
levacccp [35]
I really don’t no so sorry hope u find the asset if you haven’t
7 0
3 years ago
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Dana is planning to drive 400 miles from
GaryK [48]

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

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B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

5 0
3 years ago
Please help, I need an explanation because I'm confused on how to do this.
gladu [14]

Answer:

15°

Step-by-step explanation:

If CB is a diameter, the arc BKAC is a semicircle and has a degree measure of 180.  If the measure of angle BCK is 20 and it is an inscribed angle, then the measure of the arc it intercepts is twice that.  So arc BK measures 40 degrees.  That means that arc KA has a measure that is found by subtracting arc AC and arc BK from 180.  180 - 40 - 110 = 30.  If that arc is 30 and the angle that intercepts it is inscribed, then the angle measure is half the measure of the arc. So the angle is 15°

3 0
4 years ago
since the 1950's, air pollution and robberies have increased. the conclusion that air pollution causes robberies is
dlinn [17]
Had to look for the options and here is my answer.
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8 0
3 years ago
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