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Maths
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Find the intersection point/s of the equations x²+7x-3 and 3x+4

Like many things in Mathematics, we have to remember that getting used to visualising the problem is often a fundamental stepping stone towards success. Both equations represent a line on the Cartesian pl...

DP
Answered by Daniele P. Maths tutor
1462 Views

Find the angle between two lines with vector equations r1 = (2i+j+k)+t(3i-5j-k) and r2 = (7i+4j+k)+s(2i+j-9k)

Explain the dot product and the relation : a.b= ¦a¦¦b¦cos(x) where a.b is the dot product of two vectors, ¦a¦ and ¦b¦ are the magnitude of a and b respectively and x is the angle between them. Si...

MS
Answered by Muhammad S. Maths tutor
5723 Views

Derive the quadratic formula form the general quadratic equation

Write the general quadratic equation : ax2+bx+c = 0 Need to solve for 'x' using completing the square method. 1 - Divide through by 'a' in order to get into a form which we can complete the squ...

MS
Answered by Muhammad S. Maths tutor
3805 Views

Find the intersection coordinates of both axis with the function: f(x)=x^2-3x+4/3

Find the y1 coordinate, where x1 = 0, this is the intersection with y-axis. f(0)=4/3, therefore one intersection Py=[0,4/3]Find the x1,2 coordinates, where y = ...

MS
Answered by Martin S. Maths tutor
2852 Views

An isosceles triangle ABC has a perimeter of 16cm. AB = x+3, AC = x+4. Calculate the area of ABC.

Find x.2(x+3) + x+4 = 163x + 10 = 16x = 2So: AB = 5cm, BC = 5cm, AC = 6cmThen use '0.5 x base x height' to find area.Base = 6Height use Pythagoras: 5^2 - 3^2 = x^225 - 9 = 16x = 40.5 x 6 x 4 = 12cm^2

AM
Answered by Amelie M. Maths tutor
3787 Views

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