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2 years ago

Solve the system

Mathematics

1 answer:

Alexxandr [17]2 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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2 years ago

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed

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Answer:

106.4622 $a^{3}$

Step-by-step explanation:

Given the information:

A right triangle

Leg lengths of $(3a)^{3}$ and $(4a)^{3}$

Use the pytagon theory to find the hypotenuse of the triangle

$a^{2} + b^{2} = c^{2}$

<=> $((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}$

<=> $(3a)^{6} + (4a)^{6} = c^{2}$

<=> $c^{2} = 4285a^{6}$

Take the square root of both sides

<=> c = 69.4622 $a^{3}$

=> expression in simplest form for the perimeter of a right triangle is:

$(3a)^{3}$ + $(4a)^{3}$ + 69.4622 $a^{3}$

= 27 $a^{3}$ + 64 $a^{3}$ + 69.4622 $a^{3}$

= 106.4622 $a^{3}$

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2 years ago

4c + 2b3 when<br> b = 5 and c= 1.2

ELEN [110]

Answer:

257.8

Hope this Helps!

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2 years ago

And also pls write down area of the square

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2 years ago

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The Westminster Widget Company has an old machine that can produce 10 widgets in two hours. Now they have purchased a new machin

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First we will find the average production for each machine:
For old machine:
(10) / (2) = 5 widgets / hour
For new machine:
(30) / (3) = 10 widgets / hour
We define t:
t = Amount of time in hours:
The equation sought is:
5 + 10 = 75 / t
Clearing we have:
t = (75 / (5 + 10))
t = 5 hours
Answer:
Working together, it will take the two machines to produce 75 widgets about:
t = 5 hours

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3 years ago