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Rectangle A has a length of 3y cm and a width of 2x cm. Rectangle B has a length of (y + 4)cm and a width of (x + 6)cm. Rectangle A has a perimeter of 94cm and Rectangle B has a perimeter of 56cm. Solve x and y and calculate the areas of each rectangle.

To calculate the perimeter of a shape, you have to add up the lengths of all of its sides. So:A: 3y + 2x + 3y + 2x = 94 ; B: (y + 4) + (x + 6) + (y + 4) +(x + 6) = 56Simplifying both equations give:4x + 6...

Answered by Raghav A. • Maths tutor

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What is the mean of the numbers: 1, 7, 25, 9 and 34?

The mean of a group of numbers is found by dividing their sum by how many numbers there are.

Mean=(1+7+25+9+34)/5=76/5=15.2

Answered by Isabel R. • Maths tutor

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How do I find the roots and and coordinates of the vertex of the graph y = 2x^2 + 4x - 8 ?

y = 2x^2 + 4x - 8y = 2( x^2 + 2x - 4)Completing the square:y = 2( (x+1)^2 - 1 - 4 )y = 2(x+1)^2 -10the vertex of graph lies at the minimum value of y, and this occurs when x = -1:y = 2(-1+1)^2 -10y = -10t...

Answered by Joe A. • Maths tutor

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s^2 - 2s - 24 = 0

s² - 18s = 0(s + 4)(s - 6) = 0s = -4 s = 6

Answered by Natasha P. • Maths tutor

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Prove that (2n+3)^2-(2n-3)^2 is a multiple of 8 for positive integer values of n

To prove that (2n+3)²-(2n-3)²is a multiple of 8 we are going to deal with the first bracket and then the second bracket. When a bracket has ²next to it, this means that ...

Answered by Sioned D. • Maths tutor

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