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Sketch, on a pair of axes, the curve with equation y = 6 - |3x+4| , indicating the coordinates where the curve crosses the axes, then solve the equation x = 6 - |3x+4|

One helpful method for solving questions like these is to sketch the curve in stages. First begin with the straight line y=3x+4 (taking 3x+4 from within the modulus lines) crossing the x axis at -4/3 and ...

WS
Answered by Wesley S. Maths tutor
4498 Views

Find the exact value of sin(75°). Give your answer in its simplest form.

sin(A+B) ≡ sin(A)cos(B) + sin(B)cos(A)

⇒ sin(75°) = sin(30+45)° = sin(30°)cos(45°) + sin(45°)cos(30°)

= ½ × 1/√2 + 1/√2 ×(√3)/2 = 1/(2√2) + (√3)/(2√2)

= (1+√3)/(2√2)

LM
Answered by Leigh M. Maths tutor
104311 Views

What is the difference between a gerund and a gerundive?

The main difference between a gerund and a gerundive is: - GERUND = verbal NOUN - GERUNDIVE = verbal ADJECTIVE To see what this actually means, it is perhaps easiest to look at them first in the English: ...

HC
Answered by Holly C. Latin tutor
62421 Views

I'm not allowed to bring books into exams, how do I learn them off by heart?

First thing to say is: don't panic. This does't mean that you have to know the whole text off my heart. In fact, if you did, the chances are that you wouldn't use quotes concisely enough to make your argu...

JH
Answered by Jemima H. English tutor
3126 Views

What is the differential of e^x?

e^x, the differential of the exponential function is itself.

AL
Answered by Adam L. Maths tutor
5156 Views

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