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Maths
GCSE

Solve for x and y: x ^2 +2y = 9,y = x + 3

  1. Replace y with x + 3. x^2 + 2(x+3) = 9
    2) Expand the bracket, and subtract 9. x^2 + 2x - 3 = 0
    3) Factorise the quadratic(x - 1)(x + 3) = 0
    4) Therefore, x has 2 solutions. x = 1 and ...
CK
Answered by Changavy K. • Maths tutor
2649 Views

Find the equation of the line that passes through ( 5 , -4 ) and (3,8).

The equation of a straight line takes the form of y=mx+c where m is the gradient of the line and c is the y-intercept (where the line crosses the y-axis). The best way to start this question is to draw a ...

KZ
Answered by Ksenia Z. • Maths tutor
4320 Views

How do you calculate the area of a triangle when the question tells you the length of all three sides but no angles?

  1. use the cosine rule to get angle A; cos(A) = (b2 + c2 - a2)/2bc2) Use '1/2 x a b x sin(C)' to get the area of the triangleNote: the side 'a' is the one opposite angl...
TH
Answered by Tom H. • Maths tutor
2794 Views

Sarah plans to paint a rectangular wall of dimensions 8.7m x 2.3m. A tin of paint costs £16.10 and covers 6 metres squared. Sarah has a budget of £56, can she afford to paint the wall? Explain your reasoning.

(This question would appear on the calculator paper of GCSE Maths) The first step is to calculate the total area of the rectangular wall by multiplying the width and height of the wall: Area (recta...

RS
Answered by Rob S. • Maths tutor
4689 Views

A straight line runs through these two coordinates (1,5) and (4,7), find the equation of the line.

Given that the equation is a straight line we know that it will take the form of y = mx + c with m as the gradient and c as the y-intercept. We can find the slope by doing (y1- y2)/(...

DR
Answered by Daniel R. • Maths tutor
2950 Views

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