We use the vertical side as the base: it is a vertical segment, so it's length is the difference of the y coordinates of its endpoints:
The height would be the segment starting from 
, perpendicular to the base. Since this is a horizontal segment, its length is the difference of the x coordinates of its endpoints:
So, the area is given by
Answer:
The ratio of the surface areas and volume is 8((5y+5x) /25xy)
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
Let us assume that the radius =x
Radius r=5x/4
And the height =y
Height h= 5y/4
We know that the total surface area of a cylinder is
A total = 2πrh+2πr²
We can factor out 2πr
A total = 2πr(h+r)
The volume of a cylinder is given as
v= πr²h
The surface area and volume ratios
Can be expressed as
2πr(h+r)/πr²h= 2(h+r)/rh
= (2h+2r)/rh= 2h/rh + 2r/rh
= 2/r + 2/h
= 2(1/r + 1/h)
Substituting our value of x and y
For radius and height we have
= 2(1/5x/4 + 1/5y/4)
=2(4/5x + 4/5y)
=2*4(1/5x + 1/5y)
= 8 (5y+5x/25xy)
Answer:
x = 3/2
Step-by-step explanation:
Log x^4-logx^3=log 3x-log2x solve
log(x^4/x^3) = log(3x/2x)
Log cancels out
x^4/x^3 = 3x/2x
x^3 * x/x^3 = 3/2
x^3/x^3 * x = 3/2
x = 3/2
Hence the required value of x is 3/2
The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)
There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12
