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Maths
GCSE

The point P has coordinates (3,4). The Point Q has the coordinates (a,b). A line perpendicular to PQ is given by the equation 3x+2y=7. Find an expression for b in terms of a.

As we appreciate the rule 1: gradient of line PQ multiplied by the gradient of the line perpendicular to it equals -1. Formula: m x mn=-1We use this to find the gradient of line PQ:Firstly, we find the gr...

Answered by Richard T. Maths tutor
5560 Views

Factorise h^2 - 36.

Notice that 36 is a square number equivalent to 62 . Can also tell this as the expression contains no coefficients of h so they must cancel each other out. Using this information we can deduce ...

Answered by Ella C. Maths tutor
2448 Views

Rearrange the following to make c the subject: 11a + 5c = d ( 6 + 2c )

Steps: (1) Multiply out the brackets on the left handside [11a + 5c = 6d + 2dc]. (2) Put all terms containing c on one side and all other terms on the other side of the equation [ 5c - 2dc = 6d - 11a]. (3...

Answered by Jeremy L. Maths tutor
3107 Views

Calculate the area of a circle with a diameter of 20mm

Firstly draw the circle and label the diameter. Then calculate the radius by dividing the diameter by 2 (radius is 10mm). Using the formula A=pi*r^2 to find the area. This gives the answer as 100pi mm^2 o...

Answered by Ella C. Maths tutor
12866 Views

Find the minimum value of the quadratic 3x^2-8x+1.

This is a question about completing the square. The first step involves taking the factor of 3 our of the expression to reach the correct form for completing the square to reach 3(x^2-(8/3)x)+1. Then, con...

Answered by Jamie M. Maths tutor
2629 Views

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