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Prove that the lines 2y=3-x and y-2x=7 are pependicular.

We can find out whether lines are perpendicular by comparing their gradients. Each gradient should be the negative reciprocal of the other - for example, 3/2 and -2/3, or 4 and -1/4. (Writing the number as a...
PM
Answered by Pranavi M. • Maths tutor
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Solve 3x - 5 < 16

The first thing you should always do when approaching questions like this is to get the numbers on one side and the letters on the other. This makes the equation simpler and helps you to solve it. By adding ...
DS
Answered by Dannielle S. • Maths tutor
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z = 3x + 5y, if x = 7 and z = 41, what is 2y?

z = 3x + 5y 41 = 3(7) +5y 41= 21 + 5y 20 = 5y 4 = y y = 4 2y = 8
HA
Answered by Hannah A. • Maths tutor
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How can I solve quadratic equations by completing the square?

When we have a quadratic (ax 2 + bx + c = 0) we can &quot;complete the square&quot; to solve for x. For example x 2 + 8x + 7 = 0. First look at the x 2 + 8x, in particular the coefficient of x, &quot;b&quot;...
TB
Answered by Thomas B. • Maths tutor
4166 Views

Find the value of X and Y if X^2 + Y^2 = 13 and 2X + Y = 1

Firstly, since only one equation is linear, substitution must be used. This will allow us to make a quadratic equation with one variable and solve for X and Y. To do this, I will make Y the subject of the fo...
AS
Answered by Alexis S. • Maths tutor
7171 Views