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Solve x^2 + 7x + 10 = 0

First factorise the quadratic into the form (x + a)(x + b) = 0.This will make x^2 + ax + bx + ab = 0.Work out a and b so that a + b = 7 and a b = 10.a = 5 b = 25+2 = 7 5 2 = 10.
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Answered by Simone K. • Maths tutor
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A linear sequence begins: a + 2b, a + 6b, a + 10b, ..., ... Given that the 2nd term has a value of 8 and the 5th term has a value of 44, calculate the values for a and b

This is a linear sequence which we can see increasing by 4b with every consecutive term. Given the values of the first 3 terms, we can see that the 4th and 5th terms must be a + 14b and a + 18b respectively....
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Answered by Alex F. • Maths tutor
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We have two straight lines AB and CD. The coordinates of A,B and C are A(1,3), B(5,9) and C(0,8). The point D lies on the line AB and is halfway between points A and B. Is the line CD perpendicular to AB?

First of all we need to find the coordinates of the point D. As D is halfway between the two points A and B, to find the midpoint of a line segment, we add the x coordinates then divide by 2, and add the y c...
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Answered by Bryony H. • Maths tutor
6924 Views

Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?

1kg = 1000grams 5kg = 5000 grams. 5kg will give 20 bags (5000/250). Total amount she will make from selling is £13. Hence, profit percentage is (13-10)/10*100. Which gives profit percentage since profit is t...
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Answered by Kevser T. • Maths tutor
4105 Views

The equation of a straight line is 3x + 2y = 24. Find where the line crosses the x-axis.

Let's first think about what it means when the line crosses the x-axis. If we consider a normal x-y coordinate plane, every point on the x-axis has a y value of 0. So if we are trying to find out where the l...
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Answered by Angela D. • Maths tutor
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