Use the Phythagorean theorem to<br> find the length of the third side

13. Jason rode his bike 529 fewer meters than Allison. Jason rode 1 km 850m.

Bumek [7]

Answer:

2km 379m

Step-by-step explanation:

If you add the 529 meters more that Allison rode to 850 meters it adds up to 1379 meters which is 1 kilometer and 379 meters, and then you add the kilometer to it and its a total of 2 kilometers and 379 meters

7 0

3 years ago

Solve the equation using the substitution u = y/x. When u = y/x is substituted into the equation, the equation becomes separable

bekas [8.4K]

Answer:

$\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}$

Step-by-step explanation:

First step: I'm going to solve our substitution for y:

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

Multiply both sides by x:

$ux=y$

Second step: Differentiate the substitution:

$u'x+u=y'$

Third step: Plug in first and second step into the given equation dy/dx=f(x,y):

$u'x+u=\frac{x(ux)+(ux)^2}{3x^2+(ux)^2}$

$u'x+u=\frac{ux^2+u^2x^2}{3x^2+u^2x^2}$

We are going to simplify what we can.

Every term in the fraction on the right hand side of equation contains a factor of $x^2$ so I'm going to divide top and bottom by $x^2$ :

$u'x+u=\frac{u+u^2}{3+u^2}$

Now I have no idea what your left hand side is suppose to look like but I'm going to keep going here:

Subtract u on both sides:

$u'x=\frac{u+u^2}{3+u^2}-u$

Find a common denominator: Multiply second term on right hand side by $\frac{3+u^2}{3+u^2}$ :

$u'x=\frac{u+u^2}{3+u^2}-\frac{u(3+u^2)}{3+u^2}$

Combine fractions while also distributing u to terms in ( ):

$u'x=\frac{u+u^2-3u-u^3}{3+u^2}$

$u'x=\frac{-u^3+u^2-2u}{3+u^2}$

Third step: I'm going to separate the variables:

Multiply both sides by the reciprocal of the right hand side fraction.

$u' \frac{3+u^2}{-u^3+u^2-2u}x=1$

Divide both sides by x:

$\frac{3+u^2}{-u^3+u^2-2u}u'=\frac{1}{x}$

Reorder the top a little of left hand side using the commutative property for addition:

$\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}$

The expression on left hand side almost matches your expression but not quite so something seems a little off.

5 0

3 years ago

A tree was 9 feet tall. One year later, the tree was 16 feet tall. Write an equation and find how many feet f the tree grew

ArbitrLikvidat [17]

Answer:

9 + f = 16

Step-by-step explanation:

So just say 9 + f = 16 since the tree grew to 16, and the f is the amount.

8 0

3 years ago

Read 2 more answers

Answer this ??

nevsk [136]

There would be 31 animals.

6 0

4 years ago

What is $0.1369 rounded to the nearest cent

makvit [3.9K]

Ok, what is $0.1369 rounded to the nearest cent?

100 cents make a dollar which means the most possible cents not making a dollar is 99 cents

So that means you leave the first two decimals alone and focus on the last two.

What is 69 closer to? 70 or 60? Well, its larger than 65 which is the halfway point so its closer to 70

Is 70 closer to 0 or 100? Well, since 70 is past the halfway point which is 50, its closer to 100.

Think of 3 as 0 and the next number up which is 4 as 100, well, since 70 is closer to 100 than 0, its closer to 4.

So That means that 0.1369 rounded to the nearest cent is $0.14

Your answer rounded is $0.14

4 0

3 years ago

Use the Phythagorean theorem to find the length of the third side