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Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis

First find the coordinates of the point in question:We know x=0By plugging this into the equation of the line we get y=(0-2) 2 = (-2) 2 = 4Therefore the point is (0,4) To find the gradient of a line, we diff...
AJ
Answered by Alec J. • Maths tutor
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How do I solve simultaneous equations using the substitution method?

2y + x = 8 (equation 1) and 1 + y = 2x (equation 2) Step 1: make y subject of equation 2: y = 2x - 1 Step 2: sub this value of y into equation 1: 2(2x - 1) + x = 8 Step 3: solve the above equation to find x:...
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Answered by Lulu H. • Maths tutor
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Find the roots of the following equation 2x^2-11x+14=0

First start by copying down the question and making sure that you have copied all of the correct numbers. We then identify that it is a quadratic equation due to there being an x raised to a power 2 term. Du...
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Answered by Jack D. • Maths tutor
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Simplify \sqrt{98} - \sqrt{32} giving your answer in the form k*sqrt{2} where k is an integer

Let's begin with the basics, before we begin we should be able to answer what is a surd? and What rules do we need?\begin{equation}...\end{equation}Answer: 3*sqrt{2}
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Answered by Corey V. • Maths tutor
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A triangle has the following dimensions: 5 km, 12 km and 13 m. Is it a right triangle?

Step one : convert all dimensions to the same units 1km = 1000m therefore 5km = 5000m12km = 12,000m Step two : recall that Pythagoras theorem is used for right angle triangles, defined by the following: a 2 ...
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Answered by Tayeba S. • Maths tutor
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