Answer:

Step-by-step explanation:
So we have the expression:

To simplify, simply combine the like terms. Therefore:

Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

Now, factor out a y from the three terms:

Do all the operations inside the parenthesis:

And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
Answer:
x = 9/2 or 4 1/2 or 4.5
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve. Hope this helped :)!
Make a change of coordinates:


The Jacobian for this transformation is

and has a determinant of

Note that we need to use the Jacobian in the other direction; that is, we've computed

but we need the Jacobian determinant for the reverse transformation (from

to

. To do this, notice that

we need to take the reciprocal of the Jacobian above.
The integral then changes to

Answer:
47.6 euros
Step-by-step explanation:
68 x .70 = 47.6
.70 = 70%
70% of 68
of means multiply
You turn the percent into a decimal and multiply
Answer:
20
Step-by-step explanation:
AB = √(-4)² + (-3)²
AB = √ 16 + 9
AB = √ 25
AB = 5
AD = 4 ; DC = 4 ; BC = 7
Perimeter = 5 + 4 + 4 + 7 = 20 units