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zhenek [66]
3 years ago
12

Solve the system

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

Jacobian value = 1/7

Step-by-step explanation:

Given data:

u = 2x -y

v = 3x + 2y

solving the system for  x and  y in terms of u and v

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

The value of the Jacobian =  1/7 ( solution attached below )

Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below

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Sloan [31]
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=>

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and Θ = 360° + 30° = 330°

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3 years ago
if a motercycle is moving at a constant speed down the highway of 40 km/hr, how long would it the motorcycle to travel 10 km
ahrayia [7]

Answer:

15 minutes

Step-by-step explanation:

First, the motorcycle goes at a speed of 40 km/hr.

The question asks for how long it would take to travel 10 km.

Well, there are 60 minutes in an hour, since we will be translating into minutes.

Also, 10 km is 1/4 of 40 km, so it would make sense that the time length would be 1/4 of an hour as well.

1/4 of 60 minutes is 15 minutes.  So it takes 15 minutes for the motorcycle to travel 10 km.

Now, if all this wordy stuff is too much to comprehend, you can also solve using proportional relationships.

\frac{40km}{60min}=\frac{10km}{xmin}

Now cross multiply:

40km*xmin=10km*60min\\40x=600

Divide both sides by 40:

\frac{40x}{40}=\frac{600}{40}\\x=15

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melamori03 [73]

Answer:

250 MAYBE

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
write an equation of a line that passes through the following tow points (4, -6) and (2, 8) show work
stiks02 [169]

Answer:

y = -7x + 22

Step-by-step explanation:

Given

(x_1,y_1) = (4,-6)

(x_2,y_2) = (2,8)

Required

Determine the line equation

This question will be answered using linear interpolation.

This is represented as thus:

\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}

Substitute values for x1,x2,y1 and y2

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\frac{y +6}{x - 4} = \frac{8 +6}{2 - 4}

\frac{y +6}{x - 4} = \frac{14}{-2}

\frac{y +6}{x - 4} =-7

Cross Multiply

y + 6 = -7(x - 4)

y + 6 = -7x + 28

Make y the subject

y = -7x + 28-6

y = -7x + 22

7 0
3 years ago
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