Use the distributive property.
3*2a - 3*b = 6a - 3b.
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The value of x will be found using the following equivalent ratios:
Convert to fraction
Factorize:
Simplify
Cross Multiply
Collect Like Terms
the ratio of the length and width = 3:2
Step-by-step explanation:
let the length be =x
width be = 
area of a rectangle = length X width
so, x X = 384
or, 
X 2/3 = 384
or, = (384 X 3)/2
= 576
or, x = 24 ( taking square root)
hence, length is 24
width is = 24 X (2/3)
=16
so the ratio of length and width = 24 : 16
= 3:2
We can determine this to be a Geometric Sequence with:
a = 2
r = 1/2
an = ?
We must first find an. We know that an = 1/256, therefore we can use this formula to discover an:
an = a * r^n-1
1/256 = 2 * 1/2^n-1
<span>1/256 / 2 = 1/2^n-1
</span>1/512 = 1/2^n-1
<span>log(1/512) = log(1/2^n-1)
</span>9 = n - 1
10 = n
Therefore, we know an = 10
Now we input it into this equation and solve:
Sn = a(1-r^n/1-<span>r)
</span>Sn = 2(1-1/2^10/1-1/2<span>)
</span>Sn = 2(1023/1024 / 1 / 2)
Sn = 2(1023/1024 * 2 / 1)
<span>Sn = 2(2046/1024)
</span><span>Sn = 2(1023/512)
</span>Sn = 1023/256
Sn = 3.992
Geez, that took awhile... xD
