Answer:

Step-by-step explanation:
You can use the foil technique (first outer inner last)
(3x - 1)(-x + 4) = (3x · (-x)) + (3x · 4) + ((-1) · (-x)) + ((-1) · 4)
= 
= 
3i is not equivalent to 3 because i is representative for the square root of -1. In reality it is 3(square root of -1) and 3 .
Answer:

Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
![EF=\frac{1}{2}[AD+BC]](https://tex.z-dn.net/?f=EF%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5D)
substitute the given values
![x=\frac{1}{2}[(x-6)+(2x-3)]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B%28x-6%29%2B%282x-3%29%5D)
![x=\frac{1}{2}[3x-9]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B3x-9%5D)

so



Answer:
There are 2 red pens in each pack
There are 3 blue pens in each pack
Step-by-step explanation:
<u> we know that</u>
270=2*3^{3} *5
180=2^{2}*3^{2}*5
<u>Find the Greatest Common Factor (GCF)</u>
The GCF is equal to------> 2*3^{2}*5=90
the greatest number of packs she can make is 90
Find the number of red pens in each pack 180/90=2 red pens
Divide the total number of red pens by the total number of packs
Find the number of blue pens in each pack 270/90=3 blue pens
Divide the total number of blue pens by the total number of packs