Top answers

Solve the simultaneous equation: 2x - 5y = 9 , x + 6y = -4

First multiply the second equation by 2, so it becomes 2x + 12y = -8. Then subtract the second equation from the first one which gives (2x - 2x) + (-5y - 12y) = (9 - -8), -17y = 17. Therefore y = -1. Plug th...
AC
Answered by Anagh C. • Maths tutor
4728 Views

What is the distance between the points with co-ordinates (3,2) and (7,9)?

This question can be approached using the Pythagoras Theorem, with the line connecting these 2 points being the hypotenuse (longest side of the triangle). Side lengths:1) 7-3=4 2) 9-2=7Therefore, the distanc...
SS
Answered by Shanmukan S. • Maths tutor
3174 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Draw the triangle - recognising that it is a right angled trianglefind the scale factoruse the formula: 0.5 x base x height = area To find the scale factor you must divide the total perimeter by the sum of t...
SC
Answered by Stella C. • Maths tutor
3207 Views

Solve the Simultaneous Equation: 2x + 3y = 15 and 5x + 4y = 13

Primarily, we should attempt to make either the x or y values of either equation be the same value, or the equivalent negative value. This is so we can add or subtract the equations to leave us with one vari...
LH
Answered by Luke H. • Maths tutor
8949 Views

Differentiate (3x^2-5x)/(4x^3+2x^2)

We can differentiate the expression using the quotient rule. If f(x)=u(x)/v(x) then f'(x)=(u'(x) v(x)-u(x) v'(x))/v(x)^2. In this case u(x)=3x^2-5x so u'(x)=6x-5 and v(x)=4x^3+2x^2 so v'(x)= 12x^2+4x. Using ...
AI
Answered by Andras Ivan A. • Maths tutor
5044 Views