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Express 56 as the product of its prime factors

2 3 x 7
CA
Answered by Charlotte A. • Maths tutor
8561 Views

Here is a right-angled triangle (base = 8cm and height = 9cm) and a rectangle (length = 16cm). The area of the rectangle is 6 times the area of the triangle. Work out the width of the rectangle.

Area of triangle is 0.5 x base x height. 0.5 x 8 x 9 = 36 Area of rectangle is 6 x 36 = 216 Area of rectangle is also 16 x width 16 x width = 216 (Divide both sides by 16) width = 216/16 = 13.5
HW
Answered by Harry W. • Maths tutor
13087 Views

Locate the position and the nature of any turning points in the function: 2x^3 - 9x^2 +12x

I would first ask the student to draw a cubic graph(preferably the function in asking depending on the student's capability). I would then ask the student to show me where the stationary points in the graphs...
EI
Answered by Ewa I. • Maths tutor
6945 Views

Solve the simultaneous equations 3x+2y=4 and 4x+5y=17 for x and y

Rearrange one of the equations to get x equals an equation in terms of y.3x+2y=4Take 2y away from both sides3x=4-2yDivide both sides by 3x=(4-2y)/3Substitute this into the other equation in place of x4((4-2y...
JC
Answered by Jack C. • Maths tutor
7759 Views

Simplify 3log(x^2)+4log(y^3)

Using rules of logarithms: 3log(x^2)+4log(y^3)=log((x^2)^3)+log((y^3)^4) =log(x^6)+log(y^12) =log((x^6)(y^12)
AC
Answered by Alexander C. • Maths tutor
4742 Views