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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
4453 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
104135 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
61972 Views

4x+9y=59.5 and x+y=8. Find the values of x and y.

Firstly, take the second equation and make either x or y the subject, which means to make it either x equals or y equals. To make x the subject, we take y away from both sides giving x=8-y. Then, substitu...

BK
Answered by Bethany K. Maths tutor
5091 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
3079 Views

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