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Name the four blood vessels that carry blood in and out of the heart and state whether they carry oxygenated or de-oxygenated blood.

The Vena Cava carries de-oxygenated blood from the body to the right-side of the heart. The Pulmonary Artery then carries de-oxygenated blood from the right side of the heart to the lungs to get oxygenated. ...
JF
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A railway car of mass m1 travelling at a velocity of v1 collides with a second car of mass m2 travelling at v2 and the two join together. What is their final velocity?

Momentum is conserved in any collision, and for a single body is given by p = mv. The momentum before is m1 v1+m2 v2, and the momentum after is (m1 + m2) u where u is the final velocity, so the final velocit...
Answered by • Physics tutor
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How do you rearrange x = (2y+1)/(3y+4) to get y in terms of x?

We first multiply both sides of the equation by (3y+4) to get x(3y+4)=2y+1. We then expand the left hand side to get 3xy+4x=2y+1. By rearranging the equation we get 3xy-2y=1-4x. We then factorise the left ha...
ER
Answered by Ewan R. • Maths tutor
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Factorise x^2 - 8x + 12

First we need to draw our two brackets where the terms will go, we set them out like so ( )( ). Now looking at the coefficient of the x squared term, we se that it is one, therefore, it is formed by a multip...
LS
Answered by Luke S. • Maths tutor
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For which values of k does the quadratic equation 2x^2+kx+3=0 only have one unique solution?

A quadratic equation ax 2 +bx+c=0 will have only one unique solution if and only if b 2 -4ac=0. If we apply this to the equation in the question, we get that k 2 -24=0. If we solve this equation we get two s...
ER
Answered by Ewan R. • Maths tutor
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