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An isosceles triangle has a base with length x+4 and the other two sides have length x+3. The perimeter of this isosceles triangle is 16cm. Find the area of the triangle.

First, we need to find the value of x. The perimeter of a shape is the sum of the length of all of its sides, so the perimeter of this isosceles is x + 4 + 2(x + 3) = x + 4 + 2x + 6 = 3x +10. We are told tha...
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Answered by Dominic M. • Maths tutor
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Differentiate y = 15x^3 + 24x^2 + 6 with respect to x.

To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x 2 differentiated is 2 x 4x 2-1 = 8x. So, splitting this ...
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Answered by Dominic M. • Maths tutor
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Why does the first ionisation energy increase across period 3?

The 1st ionisation energy is defined as the energy required to remove the outermost electron from one mole of gaseous atoms, forming one mole of gaseous 1+ ions. Moving from left to right the proton number i...
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Answered by Hamish P. • Chemistry tutor
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What are the advantages and disadvantages of sexual reproduction?

Sexual reproduction has many evolutionary advantages. These include: (1) a genetic variation in offspring that is not seen with asexual reproduction. (2) The variation allows the species to adapt to changes ...
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Answered by Lois W. • Biology tutor
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How do I effectively use critical sources in essays?

Using secondary critical sources in your essays can be intimidating but here are three ways you can apply it effectively: 1.To bolster your own argument - This is possibly the easiest way to utilize a critic...
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