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Solve the equations x^2+y^2=13 and x-2y=1 simultaneously.

Rearranging the second equation gives x=2y+1. Substituting this into equation 1 gives (2y+1)²+y²=13.Rearrangingthis and factorising the quadratic equation gives (5y-6)(y+2)=0, giving...

Answered by Phoebe S. • Maths tutor

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Where and why do we plot points on cumulative frequency graphs?

At the end of each group. Say you have a table of groups and frequencies corresponding to those groups, for example for x we have group 0<x<=5 with frequency 6 and group 5<x<=15 with frequency...

Answered by Osman O. • Maths tutor

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How to find the equation of a line connecting two given coordinate points.

The equation of the line will be in the set form for a straight line, this being y = mx + cHence substitute the x and y values of one of the points into this equation.Repeat for the other coordinate.Hence...

Answered by Kazuaki S. • Maths tutor

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In a bag of 72 red and green marbles, 5/9 are green. What is the number of red marbles in the bag?

72 cards5/9 are green = 72/(5/9) = 40 green marbles72 - 40 = 32 red marbles

Answered by Venn S. • Maths tutor

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There are 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue

First of all you need to work out the total number of pens. 7+4+6=17. How many of these 17 pens are blue? 7. If you pick one pen out of the 17, 7 of them would be blue. To work out the probability, you n...

Answered by Tobias H. • Maths tutor

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