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Factorise and solve x^2 + 3x - 4 = 0

To factorise this equation, we must find two numbers that add together to make 3 and multiply to make -4 . These numbers must be -3 and -1 . We would then rewrite the equation as (x-3)(x-1)=0. To solve this ...
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Answered by Dylan J. Maths tutor
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Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

First we rearrange the equation y + 4 x = 7 to y = −4 x + 7 So we can see that the gradient of this equation is −4. Since the line we are looking for is parallel, it must have the same gradient, −4. So now w...
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Answered by James K. Maths tutor
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Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

First we rearrange the equation y + 4 x = 7 to y = −4 x + 7 So we can see that the gradient of this equation is −4. Since the line we are looking for is parallel, it must have the same gradient, −4. So now w...
DS
Answered by David-Ruben S. Maths tutor
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Solve the simultaneous equations: 5x + 3y = 9 and 7x - 2y = 25.

To solve these similar equations, we must either first eliminate x or y. There are multiple ways of doing this, one being rearranging one of the equations so that it is either "x=.." or "y=......
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Answered by Màiri G. Maths tutor
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What is Pythagoras' theorem?

Pythagoras' Theorem is a rule for right-angled triangles which is used to solve problems. Explanation: For any right-angled triangle, the longest side (opposite the right angle) is called the hypotenuse . If...
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Answered by Sarah P. Maths tutor
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