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Solve the simultaneous equations: 3x + y = -4 and 3x - 4y = 6

First subtract the first equation from the second getting:0 - 5y = 10-5y = 10Then divide both sides by (-5)y = -2Then substitute the y value of (-2) back into the first equation giving:3x + (-2) = -43x = ...

Answered by Luke C. Maths tutor
4930 Views

How do you find a turning point of a function using differentiation?

To find the location of turning points on a function, find the first derivative of the function, and then set the result to 0. if you then solve this equation, you will find the locations of the turning p...

Answered by Nathan S. Maths tutor
47726 Views

A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1)
Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-...

Answered by Thomas F. Maths tutor
2459 Views

How do you factorise a quadratic equation

Factorising a quadratic can seem daunting at first but when broken down if to multiple steps it can be much more manageable. These steps will work for all basic quadratics so if you stick to the formula y...

Answered by Jake P. Maths tutor
2485 Views

How is our blood sugar regulated?

This is an important area of metabolic biology to understand. In non-diabetics, your blood sugar levels should be between 3.9 and 7.1 mmol/L (the unit shows that this is a concentration as it is ho...

Answered by Tutor133848 D. Maths tutor
1445 Views

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