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Simplify the expression 5x + 6y -4x+ 7y

x+ 13y
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This rectangle is twice as long as it is wide. The perimeter of the rectangle is 30cm. What is the area?

50cm 2
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Write the missing numbers on the lines.

76 + 84 = 160 36+ 54 = 90
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Answered by Sammy B. • Maths tutor
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Prove that 2^(80)+2^(n+1)+2^n is divisible by 7 for n belongs to the natural number.

We will prove that 2^(n+2)+2^(n+1)+2^n is divisible by 7 using formula to multiply powers with the same base:a^(b) * a^(c) = a^(b+c)Now looking at our expression we can write:2^(n+2) + 2^(n+1) + 2^n = 2^n * ...
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Find the equation of the tangent to the circle (x-3)^2 + (y-4)^2 = 13 that passes through the point (1,7)

Start with a sketch. We can see that the radius from the point (1,7) to the centre of the circle (3,4) is perpendicular to the tangent. The gradient of the radius is (4-7)/(3-1) = -3/2. We know that two perp...
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