Is this a function? <br><br> (1,1) , (2,2) , (3,5) , (4,10) , (5, 15)

Which of the following is the solution to the differentiable equation dy/dx=4x/y, where Y(2)=-2

aliya0001 [1]

First we'll substitute $\frac{dy}{dx}$ with $y'$

$y'=\frac{4x}{y}$

Then we can separate this.

$yy'=4x$

Then we'll solve this.

$yy'=4x: \frac{y^2}{2}=2x^2+c_1$

$\frac{y^2}{2}=2x^2-6$

$y=2\sqrt{x^2-3},y=-2\sqrt{x^2-3}$

Then we'll plug in to find the extraneous solutions (if any)

$y=-2\sqrt{x^2-3}$

7 0

3 years ago

Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest pos

gladu [14]

The greatest whole possible whole number length of the unknown side is 9 inches.

<h3>How to identify if a triangle is acute?</h3>

Let us have:

H = biggest side of the triangle

And let we get A and B as rest of the two sides.

Then we get:

If

$A^2 + B^2 < C^2$

then the triangle is acute

Two sides of an acute triangle measure as 5 inches and 8 inches

The length of the longest side is unknown.

We have to find the length of the unknown side

WE know that the longest side of any triangle is a hypotenuse

For an acute triangle we know:

$A^2 + B^2 < C^2$

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

$A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2$

c < 9

Hence, The greatest whole possible whole number length of the unknown side is 9 inches.

Learn more about angles;

brainly.com/question/14489478

#SPJ1

3 0

2 years ago

What should the next lette be? A Z E B I Y O

myrzilka [38]

The letter C, because the pattern is this (I think):

Every two letters it states the vowels (a,e,i,o,u)

Then in between every two letters there starts a pattern of, saying the alphabet in order and saying the alphabet backwards.

In other words they merged these two lines:

A, B, C, D, E...

+

Z, Y, X, W, V...

=

A, Z, B, Y, C, X...etc.

then by adding this pattern of vowels you get:

A, Z, E, B, I, Y, O, (C), (U), (X)...

7 0

3 years ago

Can some one plzz answer this fastttttt plzzz

Vikentia [17]

Answer:

Please see attached picture

hope it helped you:)

8 0

3 years ago

Write and solve equation.<br> What is 16% of 80?

PolarNik [594]

Question: What is 16% of 80?

You have to change the percentage to a decimal.

Remove the percentage sign and divide by 100 (% are based off 100)

16%⇒.16

Now multiply .16 and 80

$.16 * 80=12.8$

Answer: 12.8

5 0

3 years ago

Is this a function? (1,1) , (2,2) , (3,5) , (4,10) , (5, 15)