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Express the equation x^2+6x-12 in the form (x+p)^2+q

To work out the value of p, half the x coefficient EG:6/2=3. Then work out the square EG: (x+3)^2=x^2+6x+9. To work out the value for q, place the constant of the original equation equal to the constant of t...
IS
Answered by Isabel S. Maths tutor
7486 Views

find an expression for the sum of the series of 1 + 1/2cosx + 1/4cos2x +1/8cos3x + ......

Firstly we can use the fact that cosx is the real part of e^ix. This means that the series above is the real part of the infinite series 1 + 1/2e^ix + 1/4e^2ix + ...... This means that we have an infinite ge...
NK
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Determine if these two vectors are perpendicular. a=[1,4,8], b=[0,6,-3]

Start by determining dot product. a.b = 1x0 + 4x6 + 8*-3 = 0as a.b = |a||b|cos(theta)cos(theta) = 0therefore theta = 90 degTherefore vectors are perpendicular
PD
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What is a stereoisomer?

Stereoisomers are molecules that have the same structural and molecular formula but a different arrangement in space. An example of a common group of stereoisomers is from molecules with a carbon to carbon d...
CE
Answered by Charles E. Chemistry tutor
3688 Views

How can I create more texture in my paintings?

One way to guarantee a more textural piece is to start building up your surface before the paint has even touched it, using mixed media. You might tear up paper or cardboard and stick it to your surface, for...
EW
Answered by Ezekiel W. Art tutor
2731 Views