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>
We have to choose two points of this graph:
A(5,0)
B(0,-4)
And we have to compute the slope:
Given two points A(x₁,y₁) and B(x₂,y₂) the slope between these points would be:
m= slope
m=(y₂-y₁)/(x₂-x₁)
In this case:
m=(-4-0)/(0-5)=-4/(-5)=4/5
Answer: the slope would be 4/5 and all of these answer would be wrong.
Answer:
The above triangle is an isosceles triangle....
Reason
As we can see AB and DE are parallel to each other
As angle ABC is 80 degree
Therefore BCE is too 80 degree (as they both are alternate to each others)
Hence angle DCB is a 50 degree because in the straight DCE we have angle BCE as <u>80 </u><u>degree</u><u> </u>and Angle ACD as <u>50 degree</u>
Since a straight line has <u>180 degree</u> therefore the remaining angle ACB is 50 degree(180-80-50)
Now in triangle BAC. Angle C is 50 degree and Angle B is 80 degree, since the total angle of a triangle is 180 degree therefore A is 50 degree that is angle BAC is 50 degree(180-50-80) .
Hence here we see that two opposite sides have same angle that is the reason its a ISOSCELES triangle
Answer BY AN INDIAN
THANK YOU
Answer:
slope = 0
Step-by-step explanation: