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Solve the following simultaneous equations: 2y + 3x = 19 and 7x + y = 26.

2y + 3x = 19y + 7x = 26 so2y + 3x = 192y + 14x = 52 minus the top from the bottom11x = 33x= 3 put x into the initial questiony + 7(3) = 26y = 26-21y=5
HH
Answered by Harriet H. • Maths tutor
3486 Views

A scalene triangle has side lengths a=xcm, b=10cm and c=15cm. The angle A=105 degrees is opposite side a. Using the cosine rule, find the value of x to 3 s.f.

The cosine rule= a 2 = b 2 +c 2 -2bcCos(A)a 2 = 10 2 +15 2 -(2x10x15xCos(105))a 2 = 402.65...Square root of ans.a= 20.07x=20.1cm
LR
Answered by Laurie R. • Maths tutor
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For all values of x, f(x) = (x + 1)^2 and g(x) = 2(x-1). Show that gf(x) = 2x(x + 2) and find g^-1(7)

gf(x) means you are applying the function f to x (giving you f(x)) and then you are applying the function g to f(x). Since g(x) = 2(x-1), g(f(x)) =2(f(x)-1). This means after substitution, gf(x) = 2((x+1) 2 ...
AP
Answered by Arya P. • Maths tutor
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Solve: 3X - 5 = Y 2X +2 = Y +3

2X +2 = Y + 3 2X -1 = Y3X -5 = Y3X -5 = 2X -1 X -5 = -1 X = 43X -5 =Y 3(4) -5 = Y12 - 5 = Y7 = Y X = 4 Y = 7
TD
Answered by Tutor516653 D. • Maths tutor
3102 Views

If f(x)=(x-2)^2, determine the gradient of the tangent to the curve f(x) at x=-2.

Firstly, we will need to determine f'(x) which is the derivative of the function and will give us the gradient at a point. This is easiest done but multiplying out the brackets of f(x) to get the function in...
CG
Answered by Cameron G. • Maths tutor
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