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Find the gradient, length and midpoint of the line between (0,0) and (8,8).

let x1 = 0, y1 = 0 in (0,0) and let x2 = 8 and y2 = 8 in (8,8). To find the gradient, we would do (y2 - y1)/(x2-x1) = 1. To find the length, we would do the square root of the following: (y2-y1)^2 + (y2-y...

JA
Answered by Jason A. Maths tutor
5358 Views

How do I calculate the length of a regular pentagon's edge when I know that it has the same perimeter as a triangle who's perimeter is 30cm?

The first thing I would do is sketch a diagram of a triangle and a pentagon. I find that tutees learn best when they can see what's going on so this makes the explanation easier to understand. After havin...

JA
Answered by Jason A. Maths tutor
2878 Views

The curve C has the equation y = 1/2x^3 - 9x^3/2 + 8/x + 30, find dy/dx. Show that point P(4, -8) lies on C

y = 1/2x^3 - 9x^3/2 + 8/x + 30y = 1/2x^3 - 9x^3/2 + 8x-1 + 30dy/dx = 3/2x^2 - 27/2x^1/2 - 8x^-2 + 0dy/dx = 3/2x^2 - 27/2x^1/2 - 8/x^2substitute x=4 into equation for yy = 1/2(4)^3 - 9(4)^3 + 8/4 +30y = 32...

Answered by Maths tutor
8553 Views

Factorise x^2 + 10x + 24

First, we need to find two numbers which add together to make 10 such as 2 and 8, 6 and 4 or 7 and 3, listing these combinations. Next, we need to do the same but finding combinations of numbers which mul...

PF
Answered by Phoebe F. Maths tutor
3416 Views

How do we know which formulas we need to learn for the exam?

When learning new content, I know it is really intimidating seeing how many new formulas and equations are needed to answer questions, however I also know how easy it is to get on top of it all! My main p...

Answered by Maths tutor
2785 Views

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