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Calculate the length of side AB (opposite) in a right angled triangle, where angle C is 32 degrees and length of BC (hypotenuse) is 8cm.

First, we can draw a diagram to visualise the triangle and the elements of the question. Looking at this, we can see that we know the length of the hypotenuse (H) and we need to calculate the length of the o...
PA
Answered by Prachi A. Maths tutor
4153 Views

Work out: 20% of 12000

First, work out 10% of 12000 as this is a much easier calculation. To do this, one "0" can be taken off the end of the number, to give 1200. Then, to work out 20%, we know that 10x2 = 20. So, 10% o...
CC
Answered by Chelsea C. Maths tutor
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x^2+7x+6=0. Factorise the quadratic equation

x 2 +7x+6=0First identify factors of 66x1=63x2=6Then look at these pair and see if either of the can be added/subtracted from each other to give the value of 7. Therefore you would use 6+1=7These will then b...
EF
Answered by Emily F. Maths tutor
3621 Views

If a line t (f(x) = 2x +3) is perpendicular to a line n that passes through point (3,7), what is the equation of line n?

Firstly, we need to think of the equation of a line formula to figure out what information we have been given. y-y1 = m(x-x1) -> (x1, y1)This formula uses a point and a slope. We have been given a point o...
NT
Answered by Naoise T. Maths tutor
2846 Views

Let f(x) = px^2 + qx - 4p, where p is different than 0. Showing your working, find the number of roots for f(x) = 0.

Δ = b 2 - 4ac = q 2 - 4p (-4p) = q 2 + 16p 2 p different than 0 => 16p 2 greater than 0 only q 2 greater or equal to 0q 2 + 16p 2 > 0 => f has two ( 2 ) roots
HS
Answered by Hristo S. Maths tutor
5118 Views