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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 = ...

Answered by Lee B. • Maths tutor

7769 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 displace...

Answered by Victoria D. • English Language tutor

26259 Views

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 collaps...

Answered by Emmy W. • Science tutor

139437 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

Answered by Oak W. • Maths tutor

3658 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 henc...

Answered by Namita H. • Physics tutor

13218 Views