V= πr^2h
This is the formula for volume of a cylinder. The volume formula builds off the area formula. Where area is more 2-dimensional, volume is 3-dimensional. You can think of a flat sheet of paper for area (2-dimensional) and a solid box for volume (3-dimensional).
Usually your teacher would give the formulas when starting this section of math. From there, either keep a list of needed formulas in your math folder for easy reference, or try to memorize the formulas for the current section of math you are working on. Some teachers allow formula reference sheets and some do not.
Hope this answers your question! :)
A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient
Answer:
x=0 and y=5
Step-by-step explanation:
8x-25+2x=-25
Answer:
x=3/4
Step-by-step explanation:
x/3=1/2^2
4x=3
4x/4=3/4
x=3/4
Answer:
The distance of the side of the picture from the edge of the wall is 8.5 inches
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x -----> distance of the side of the picture from the edge of the wall
we know that
The wide of the wall must be equal to the wide of the picture plus two times the distance of the side of the picture from the edge of the wall
so
The linear equation that represent this situation is

solve for x

therefore
The distance of the side of the picture from the edge of the wall is 8.5 inches