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Solve the simultaneous equations: y=3x+2, x^2+y^2=20

y=3x+2 x^2+y^2=20 x^2+(3x+2)^2=20 x^2+(3x+2)(3x+2)=20 x^2+(9x^2+6x+6x+4)=20 x^2+(9x^2+12x+4)=20 10x^2+12x+4=20 10x^2+12x-16=0 5x^2+6x-8=0 (5x-4)(x+2)=0 5x-4=0, x+2=0 x=4/5=0.8, x=-2 y=3x+2, y=3x+2 y=3(0.8...

DC
Answered by Daniela C. Maths tutor
15401 Views

If a student uses an electric kettle connected to a 230V mains power supply, with a heating power of 1.8kW. Assuming negligable losses, answer the following: a) find the current in the kettle b) find the total energy transferred in 2 minutes of operation

a) The governing equation here is Power = current x voltage or P=IV. using this formula, 1,800 = I x 230 => I=1800/230 = 7.83 A (3sf) b) as watts is equal to joules/seconds, we can find the energy in j...

CP
Answered by Chris P. Physics tutor
21468 Views

Using named examples, assess the advantages and disadvantages of top-down and bottom-up development strategies. (15)

Development strategies can be used to help bridge the development gap between the rich and poor. These strategies can be successful if they help improve the standard of living. Different strategies take d...

EB
Answered by Ella B. Geography tutor
48574 Views

Find the modulus-argument form of the complex number z=(5√ 3 - 5i)

The easiest way to complete questions of these types is to first sketch an Argand diagram. With 5√ 3 on the x (real) axis and -5 on the y (imaginary) axis, the modulus would be calculated simply by using ...

CP
24672 Views

3x^2 + 7x - 13 = 0. What is x?

By using the quadratic quation, it can be deduced that x = 1.22 or x = -3.55

MS
Answered by Miranda S. Maths tutor
5562 Views

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