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Write the number 0.000000001 in standard form.

1 x 10^-9

AH
Answered by Abigail H. Maths tutor
17336 Views

solve 2cos^2(x) - cos(x) = 0 on the interval 0<=x < 180

we start  y factoring and solving for each equation:

cos(x) (2cos(x) - 1) = 0 

this means: 

cos(x) = 0 and cos(x) = 1/2

from the first equation we get:   x = 90

and from...

DS
Answered by Dimitris S. Maths tutor
8833 Views

Expand the brackets and simplify: 7(2x+3y)-x(14-y)

= 14x+21y-14x+xy

=y(21+x)

IA
Answered by Ilan A. Maths tutor
5644 Views

simplify and rationalise 1/ sqrt(12)

  1. Start by simplifying the denominator  

          - We can write sqrt(12) as sqrt (4*3). 

          - This can be written as sqrt(4) * sqrt(3) 

          - We know the squ...

MF
9069 Views

Express 2cos(x) + 5sin(x) in the form Rsin(x + a) where 0<a<90

Expanding Rsin(x + a): Rsin(x + a) = Rsin(x)cos(a) + Rcos(x)sin(a) Comparing coefficients of sin(x), cos(x) with first expression leads to: Rsin(a) = 2, Rcos(a) = 5 Dividing these equations gives: tan(a) ...

DH
Answered by Dan H. Maths tutor
11616 Views

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