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First, determine which of SOH-CAH-TOA you need to use. As this question involves the Hypotenuse and the Opposite side, use Sine. As such, write out the equation as: sin(35) = 12/x. (Let x represent the Hy...

We cannot factorise this so we shall use the quadratic formula instead.We need to substitute in the values for a, b, and c.ax² + bx + c = 0x² + 6x + 2 = 0a = 1, b=6, c=2Once substitu...

First of all we must factorise this:x² + 6x + 8 = 0(x+4)(x+2) = 0Now we make each bracket = 0 and solve for x.x+4 = 0 x+2 = 0x = -4 x = -2

The question tells us that the area of the circle is 49cm², therefore we are able to form the equation πr²=49 (where r = radius of the circle). We can now work out the radius of the ...

The quickest way would be to find determinants of the matrix; this way we can verify whether the matrix has unique (then we can directly calculate it) solution, infinite number of solutions or no solution...