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You should remember that a semi circle is the same as half a circle, therefore the area must be half as well! The formula for the area of a circle is pi r^2. If we use this, the area of our circle = pi x ...

2x + y = 7

3x - y = 8

You cannot find x and y using only one equations, but using both you can! So first you have use algebra to make both equations = y. Try this for the first equation by r...

So we start off with (11-w)/4 = 1+w

First of all, we will multiply both sides by 4 to make the '/4' disappear. This gives us 11-w = 4+4w

Then move all the w's to one side of the equation to ...

The rule we use here is (a^b)^c = a^bc

Therefore, (k³)² = k⁶

We have a quadratic equation since the highest power of x is 2. Therefore, we can use the quadratic formula, which we recall to be: x = [- b ± √(b² - 4ac) ] / 2a In accordance with the formula, we set a =...