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12 + 37 + 47

12 + 37 + 47 = (10 + 30 + 40) + (2 + 7 + 7) = 80 + 16 = 96

It is important to visualize well the operation, being able to separate and put together the numbers that are easy to calculate together. ...

Answered by Marie H. • Maths tutor

3161 Views

Solve the following equation: 4(sinx)^2+8cosx-7=0 in the interval 0=<x=<360 degrees.

We first use the identity sin²x+cos²x=1 to substitute for sin^2 in terms of cos.

sin^2(x)=1-cos^2(x) -------------> -4cos^2(x)+8cosx-3=0

Answered by Natalia W. • Maths tutor

13817 Views

ABCDEF is a regular hexagon (I will sketch this in the session). Find the angle DAF

What do we know about hexagons? They have six angles and vertices. The fact that the hexagon is regular implies that all interior angles are the same. We can split the hexagon up into six triangles. These...

Answered by Jordan M. • Maths tutor

14605 Views

How do you show that (x+2) is a factor of f(x) = x^3 - 19x - 30, and then factorise f(x) completely?

A1) Showing that (x+2) is a factor of f(x). General Method: If A is a number, then (x- A) is a factor of f(x) if when x=A, f(x=A)=0 <-- This is what we want to show ...

Answered by Rebecca W. • Maths tutor

9235 Views

f(x) = 2x^3 – 7x^2 + 4x + 4 (a) Use the factor theorem to show that (x – 2) is a factor of f(x). (2) (b) Factorise f(x) completely.

We are presented with a third order polynomial with 4 terms, so we expect 3 solutions for f(x)=0. To prove that (x-2) is a factor we must insert the value of x=2 into the function and if f(2)=0 then we ha...

Answered by Nazar A. • Maths tutor

15196 Views