√x² - 4 + x²/x² + 1
x - 2 + x²/x² + 1
<u>x - 2</u> + <u> x² </u>
1 x² + 1
<u>(x - 2)(x² + 1)</u> +<u> x² </u>
(1)(x² + 1) x² + 1
<u>x³ + x - 2x² - 2</u> + <u> x² </u>
x² + 1 x² + 1
<u>x³ - 2x² + x² + x - 2</u>
x² + 1
<u>x³ - x² + x - 2</u>
x² + 1
x³ + x - 2
Answer:
−2x4−18x3y
Step-by-step explanation:
Let's simplify step-by-step.
(−3x2)(xy+2x2)+7x4−3x3(5y+x)
Distribute:
=(−3x2)(xy)+(−3x2)(2x2)+7x4+−3x4+−15x3y
=−3x3y+−6x4+7x4+−3x4+−15x3y
Combine Like Terms:
=−3x3y+−6x4+7x4+−3x4+−15x3y
=(−6x4+7x4+−3x4)+(−3x3y+−15x3y)
=−2x4+−18x3y
The dressmaker can cut 60 12 inch pieces of ribbon
Answer:

We can rewrite this expression like this:

And we can use the quadratic formula given by:

Where 
And replacing we got:

And solving we got:

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Step-by-step explanation:
For this case we know that we have a rectangular playground and the area can be founded with this formula:

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

And replacing this formula into the area we got:

We can rewrite this expression like this:

And we can use the quadratic formula given by:

Where 
And replacing we got:

And solving we got:

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Answer:
the answer is 3
Step-by-step explanation:
it just is