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Rudiy27
3 years ago
9

Solve the equation: (x^4 - x + y)dx - xdy=0

Mathematics
1 answer:
algol [13]3 years ago
5 0
Keeping in mind that "dx" is the delta x, or differential over the x-axis, whilst "dy" is the delta y or differential over the y-axis,

\bf (x^4-x+y)dx-xdy=0\implies \stackrel{\textit{distributing dx}}{x^4dx-xdx+ydx}-xdy=0
\\\\\\
ydx=xdy-x^4dx+xdx\implies y=\cfrac{xdy-x^4dx+xdx}{dx}
\\\\\\
y=\stackrel{\textit{distributing the denominator}}{x\cfrac{dy}{dx}-x^4+x}
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Question 9: Please help, what would be the length of the image of the segment GH?
shepuryov [24]

Answer:

<u><em></em></u>

  • <u><em>The length of the image of the segment GH would be 5 units.</em></u>

Explanation:

You can use the <em>center of dilation</em> as your origin of coordintes.

Thus, the <em>point H</em> would have coordinates (0,0) and the <em>point G</em> (-1,0).

A <em>dilation</em> multiplies the coordinates by the <em>scale factor</em>. Hence:

  • H = (0,0) → H' = 5 × (0,0) = (0,0)
  • G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)

Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.

3 0
3 years ago
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The diameter of a circle is 34 yards. What is the circle's area? Use 3.14 for ​.
barxatty [35]

Answer:

907.46 mm2

Step-by-step explanation:

Area of circle = (¶d^2)/4

d = 34 mm

Therefore

Area A = (3.14 x 34^2)/4

= 907.46 mm2

8 0
1 year ago
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Simplify:0.3(x-2y)+0.5x-y
astraxan [27]

Answer:

0.3[x-2y] + 0.5x - y


Use the distributive property: a(b-c) = ab - ac


0.3x - 0.6y + 0.5x - y


Now, add/subtract all like terms


0.3x + 0.5x - 0.6y - y


0.8x - 1.6y


If you want, we can simplify that down further to:


0.8(x - 2y)



7 0
3 years ago
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Josh is trying to factor the expression
mrs_skeptik [129]

Answer:

a) Josh likely made the negative and positive multiplication error.

b) -20a-8+12b

= -4(5a+2-3b)

Step-by-step explanation:

To check if you are correct, you can always simplify it again:

-4(5a+2-3b)

=-20a-8+12b

Remember:

Negative times negative equals to positive, negative times positive equals to negative!

I hope this is helpful! :)

4 0
2 years ago
Casey wants to buy a gym membership. Gym A has a $50 joining fee &amp; costs $40 per month. Gym B has no joining fee &amp; cost
weqwewe [10]

Answer:

1; after 2 months

2; $130

Step-by-step explanation:

In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.

Now since we do not know the exact number of months, we can represent this unknown by x

so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m

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now we need to know when these fees would be the same. we simply equate what we have on both ends

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The fees to be paid is

50 + 40(2) = 65(2) = $130

4 0
3 years ago
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