6
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Let

Step 
Find 

Divide by
numerator and denominator


Step 
Find 

Divide by
numerator and denominator


Step 
Find 


Divide by
numerator and denominator


In this problem
The geometric sequence formula is equal to

For 
therefore
the answer is
the common ratio for the geometric sequence above is 
4.18x.7= 2.926
So $2.93 for .7 meters of fabric
We know that the points at which the parabola intersects the x axis are
(-5,0) and (1,0)
So the extent between these two points would be the base of the triangle
lets find the length of the base using the distance formula
![\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%5B%28-5-1%29%5E%7B2%7D%2B%280-0%29%5E%7B2%7D%20%5D%7D%20%20)
the base b=6
We will get the height of the triangle when we put x=0 in the equation
y=a(0+5)(0-1)
y=-5a
so height = -5a (we take +5a since it is the height)
We know that the area of the triangle =
× 6 × (5a) = 12
15a=12
a= 
To exact form:
8/15
To decimal form:
0.53¬ repeating.