Do perpendicular lines ever intersect? How many times?

We are given a differential equation and will rewrite it in the form M(x, y) dx + N(x, y) dy = 0. xy2 dy dx = y3 − x3 xy2 dy = (

Irina18 [472]

Answer:

Check attachment for orderliness of question

Step-by-step explanation:

We want to the equation in an exact form

M(x, y) dx + N(x, y) dy = 0.

xy² dy/dx = y³− x³

Cross multiply

Then,

xy²dy=(y³-x³)dx

xy²dy - (y³-x³)dx = 0

xy²dy + (x³-y³)dx=0

Therefore,

(x³-y³)dx + xy²dy=0

Can only be an exact equation if and only if

dM/dy=dN/dx

From the equation

M=(x³-y³)

Then, dM/dy=-3y²

Also, N=xy²

dN/dx=y²

Since dM/dy ≠ dN/dx

Then it is not an examct equation and we can say

M≠(x³-y³)

And

N≠(xy²)

7 0

3 years ago

Please help! Thank you!

Schach [20]

Answer:

$\huge \boxed{ \boxed{ \sf \: y = x + 15}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know:</h3>

linear equation
linear equation word problems
PEMDAS

<h3>tips and formulas:</h3>

linear equation:y=mx+b

<h3>let's solve:</h3>

all we need to care about the middle condition which is

<h3>the new test score is 15 points more than the original score</h3>

given that

original score is x

New score is y

if you pay attention to the given condition

we can find it same as linear equation

therefore

according to the question

the equation is

8 0

3 years ago

Write a division problem that has a two digit quotient that is greater than 40 but less than 50.

trasher [3.6K]

Let

x--------> Dividend

y-------> Divisor

Q-------> Quotient

we know that

$\frac{x}{y} = Q$

solve for x

$x=Q*y$

$40 < Q < 50$

Examples

example 1

$Q=45\\ y=4$

Find the value of x

$x=45*4\\ x=180$

A division problem is equal to

$\frac{x}{y} =\frac{180}{4} \\\\ = 45$

example 2

$Q=42\\ y=10$

Find the value of x

$x=42*10\\ x=420$

A division problem is equal to

$\frac{x}{y} =\frac{420}{10} \\\\ = 42$

8 0

3 years ago

Read 2 more answers

Calculates the total amount E, in dollars, that she earns for working h hours using the equation E = 10h

GrogVix [38]

So your equation is E=10h.

We know E is equal to 1 so let's plug that is.

1=10h

Now we just solve it.

1=10h Divide each side by 10

.1=h

Boom!

She has to work .1 hours or 1/10 of an hour to earn 1 dollar.

Hope I helped!

7 0

3 years ago

3<br> Which expression is closest in value to 5.66?

Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

$\dfrac{\pi}{2} + \pi$

Let consider π = 3.14

$\dfrac{3.14}{2} + 3.14$

$1.57 + 3.14$

$4.71 \: (approx.)$

B) GiveN:

$2\pi - 1$

Here also, let's consider the value be 3.14

$2 \times 3.14 - 1$

$6.28 - 1$

$5.28 \: (approx.)$

C) GiveN:

$4 \sqrt{2}$

Let's consider the value of √2 be 1.414

$4 \times 1.414$

$5.6516 \: (approx.)$

D) GiveN:

$8 - \sqrt{3}$

Let's consider the value of √3 be 1.732

$8 - 1.732$

$6.268 \: (approx.)$

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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6 0

3 years ago