Answer:
-126
Step-by-step explanation:
For the binomial expression 
the coefficient of 
term is given by 
.
We have to find the coefficient of 6th term in the binomial expansion of
.
Hence n=9 and r=5
The coefficient of 6th term = 
= 
= -126
Answer: it should be 3,373,560
Step-by-step explanation:
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer:
y = -2x+4
Exp:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 2 – 1 = 1
ΔY = 0 – 2 = -2
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = -2x + 4
When x=0, y = 4
When y=0, x = 2
