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Solve the simultaneous equations x^2 + y^2 = 9 and x+ y = 2. Give your answer to 2.d.p

Label your two equations 1 and 2 respectively. Make x the subject of the second equation, so x=2-y. Substitute x=2-y into x^2+y^2=9, to give (2-y)^2+y^2=9. Expand the brackets using FOIL to give 4-4y+y^2+y^2...
GS
Answered by Georgia S. • Maths tutor
33240 Views

How do I find the equation of a tangent to a given point on a curve?

Let's take an example: Curve: y = x^2 Point: (2,4) The equation of the tangent is going to be of the form y = mx + c (standard equation of a straight line), where m is the gradient of the line and c is the i...
TP
Answered by Theo P. • Maths tutor
4826 Views

What is the difference between reducing balance method depreciation and straight line depreciation?

The reducing balance method takes off a percentage of the value of a Non Current Asset each year. For example a an asset that is valued at £50,000 and depreciated at a rate of 10% per year will be depreciate...
JD
Answered by Jack D. • Accounting tutor
34713 Views

The line AB has equation 3x + 5y = 7, find; a) the gradient of AB b) the x-axis and y-axis intercepts c) sketch the graph

a) Rearrange equation into the form y = mx + c where m is the gradient and c is the y-axis intercept. Gradient AB = -3/5. b) The y-intercept is c which = 7/5. To find x-axis intercept we set y=0 and rearrang...
WH
Answered by Will H. • Maths tutor
5494 Views

Solve the following quadratic equation: x^2 + 3x + 2 = 0

Step 1: Find factors of the constant (The number with no x attached to it), In our case this is 2. The factors of 2 are: 1 & 2 and -1 & -2. Step 2: The sum of the factors from step 1 must equal the n...
JS
Answered by Jack S. • Maths tutor
4775 Views