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So we know that 3/5 teachers in the school are female, and we also know that 36 teachers are male. 

The first thing to note is that if 3/5 are female, that leaves 2/5 to be male. This is because al...

let sin(x)=u , let cos(x)=v

du/dx = cos(x),   dv/dx = -sin(x)

d[sin(x)cos(x)]/dx = v.du/dx + u.dv/dx

= cos^2(x) - sin^2(x)

The probability they wear glasses is 3/7, which means the probability they don't is 1-3/7=4/7. This means 164 students make up 4/7 of the school. To find the number that wear glasses we need to find how m...

(2+3√2, 0)  and (2-3√2, 0)

First you need to make either the x value or the y value equal by multiplying each equation by a number.

2( 4x + 3y = 4 ) and 3( x + 2y = 2 ) which equals:

Equation 1: ( 8x + 6y = 8 ) and Eq...