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The circle c has equation x^2 + y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

The first step would be to form an equation for the line l. Using y=mx+c, and the information provided in the question, the equation for line l is y=3x+1. To find the coordinates of where c and l intersect, ...
DP
Answered by Dilan P. • Maths tutor
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If there are 20 marbles in a bag and 1/5 are red, what fraction are red if 1 more red marble is added?

Originally, 1/5 of 20 marbles are red. 1/5 of 20 = 4. If i add 1 more we have 5 red marbles. 5/20 = 1/4.
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Answered by Liam O. • Maths tutor
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How do you solve the following simultaneous equations? 4x-3y=18, 7x+5y=52

First, we need to try and eliminate one of the x or the y variables from both equations. Here, we are going to eliminate the y variable. In order to do this, we need to make the y coefficients equal in both ...
AO
Answered by Alma O. • Maths tutor
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Solve the quadratic equation x^2+5x+6=0

There are two approaches which can be taken when solving this equation. The first is using the quadratic equation. By comparing the coefficients of the example to the general quadratic equation, a(x^2)+b(x)+...
AM
Answered by Anna M. • Maths tutor
28817 Views

Write x^2 + 3x + 1 in the form of (x+b)^2 + c

This question is asking for a complete the square method. This is where you take the coefficient of x (the number before x, so 3 here) and divide it by two, this gives you b in the new form. However, upon sq...
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Answered by Emily W. • Maths tutor
8043 Views