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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+...

GS
Answered by Georgia S. Maths tutor
31956 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 ...

TP
Answered by Theo P. Maths tutor
4191 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 depreci...

JD
Answered by Jack D. Accounting tutor
33750 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 rearr...

WH
Answered by Will H. Maths tutor
4933 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 e...

JS
Answered by Jack S. Maths tutor
4372 Views

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