Find the distance between the points (5,0) and (-5,3)

Estimate 4,302 + 5,289

Masja [62]

Answer:

9,591

Step-by-step explanation:

Porque asi lo dice la calculadora

4 0

2 years ago

Read 2 more answers

Find dy/dx by implicit differentiation for ysin(y) = xcos(x)

tatyana61 [14]

Answer:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

Step-by-step explanation:

So we have:

$y\sin(y)=x\cos(x)$

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

$\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]$

Let's do each side individually.

Left Side:

We have:

$\frac{d}{dx}[y\sin(y)]$

We can use the product rule:

$(uv)'=u'v+uv'$

So, our derivative is:

$=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]$

We must implicitly differentiate for y. This gives us:

$=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]$

For the sin(y), we need to use the chain rule:

$u(v(x))'=u'(v(x))\cdot v'(x)$

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

$=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})$

Simplify:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}$

And we are done for the right.

Right Side:

We have:

$\frac{d}{dx}[x\cos(x)]$

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

$=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]$

Differentiate:

$=\cos(x)-x\sin(x)$

So, our entire equation is:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)$

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

$\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)$

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

And we're done!

5 0

2 years ago

Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by

frozen [14]

9514 1404 393

Answer:

$44.49

Step-by-step explanation:

The total cost before tax will be ...

$49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

$124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

$133.77/3 = $44.59

The mean cost of a shirt is $44.59.

5 0

2 years ago

Read 2 more answers

Please Help ASAP!

Lynna [10]

First off, you should see whether the data is qualitative or quantitative.

-Quantitative is the number that represents counts or measurements.

-Qualitative (aka Categorical) typically labels or non-numeric entries

So, and example of some qualitative graphs are:
-Bar Graphs: usually comparison of things
-Two Way Tables: typically a survey with the comparison of data
-Circle Graph (Pie Chart): percentages being compared from different categories
-Frequency Tables: shows how often something appears

Some examples of quantitative graphs are:
-Box and Whiskers: shows the low, high, median of 1st quartile, median, median of 3rd quartile, and the high of data
-Line Graph: shows the change of something over a period of time
-Histogram: compares the data using frequency intervals, like 1-5, 6-10, etc.
-Scatterplot: shows the correlation of the data
-Stem and Leaf: first number goes in stem, remaining parts of number goes in leaf depending on what the first number it was, and key to help

So if you're trying to link the graph to something in your life, the graph may vary depending on what the data is. If you're going height over the years you've lived, a line graph would be best. It really depends what in your life you are doing, so I hope I provided enough information to help you out. Hope this helps!

7 0

3 years ago

0 = 4x + 4 linear equation

FinnZ [79.3K]

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

0 = 4x + 4

Step 2: Solve for x

Subtract 4 on both sides: -4 = 4x
Divide 4 on both sides: -1 = x
Rewrite: x = -1

7 0

2 years ago