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Express f(x) = x^2 + 5x + 9 in the form (x + a)^2 + b, stating the values of a and b.

The question asks you to complete the square on the function f(x). First, we split the function: f(x) = (x^2 + 5x) + 9 And recognise that we need the form (x^2 + 2k + k^2). Identifying 2k = 5, we have that k...
LB
Answered by Lee B. • Maths tutor
7962 Views

Write the opening part of a story about a place that is severely affected by the weather.

I wake up in a daze. I am breathing but just about. My hand is red - I'm bleeding. What happened? My eyes open slowly to realise the train is standing on its side. There are a few lifeless bodies displaced f...
VD
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Name 3 differences between animal cells and plant cells and explain the differences.

Plant cells have a cell wall in addition to their cell membranes while animal cells only have a surrounding membrane. This allows plants to have more rigid shape so they can grow without collapsing. Plant ce...
EW
Answered by Emmy W. • Science tutor
139711 Views

Simplify (4^2)*(2^3)*16

Indice rules are fundamental in answering this question 1) (a b )(a c ) = a (b+c) 2) (a b )/(a c ) = a (b-c) 3) (a b ) c = a (b c) 4) a (-b) = 1/(a b ) 5) a 0 = 1 We can simplify 4 2 to (2 2 ) 2 and using ru...
OW
Answered by Oak W. • Maths tutor
3873 Views

What provides the centripetal force on a satellite and what are the factors that determine the size of the centripetal force on the satellite

Centripetal Force = (mv^2)/r The centripetal force must always act towards the centre of the circle in which the satellite is travelling. Therefore it is a attractive force from the Earth and hence gravitati...
NH
Answered by Namita H. • Physics tutor
13587 Views