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Maths
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How do I find the roots of a quadratic equation?

There are a few methods you can use. Here are two methods: 1) Inspection. Say we have the equation x2+4x+3. We can find two numbers which multiply together to make 3 but add together to make 4....

DE
Answered by Daniel E. Maths tutor
2903 Views

A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.

Area of a circle = π r²

r = (1/2) d = (1/2) * 140 = 70

area         = π * (70)²

                = 4900 π cm²

SM
Answered by Sulem M. Maths tutor
2907 Views

A function is defined parametrically as x = 4 sin(3t), y = 2 cos(3t). Find and simplify d^2 y/dx^2 in terms of t and y.

We first need to find dy/dx and we use the fact that dy/dx = dy/dt * dt/dx. So we have dy/dt = -6sin(3t) and dx/dt = 12cos(3t). Substituing these in we have dy/dx = -6*sin(3t)1/(12cos(3t...

BS
Answered by Barnaby S. Maths tutor
5930 Views

Expand and simplify 2y+3y(5y+3)

Following the laws of BIDMAS, the bracket needs to be multiplied first (instead of adding 2y and 3y first):

2y + 15y2 + 9y

Simplify by addition of the y's...

LJ
Answered by Lucy J. Maths tutor
4402 Views

Solve 2x + 4 > 16

This is a simple GCSE inequality question. The aim is to solve the equation for x - get x on its own on the left side of the equation. 

Step 1. We think of equations as balanced weighing scales, so...

MP
Answered by Monique P. Maths tutor
6839 Views

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