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Maths
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How do you use Pythagoras' Theorem?

Pythagoras' Theorem states that h2 = a+ b2 . This is where you have...

RB
Answered by Ryan B. Maths tutor
4892 Views

How do you find the minimum of the equation sin^2(x) + 4sin(x)?

The first step to solving this problem is to treat it as a normal quadratic equation; if you are struggling with comparing our equation to a normal quadratic, try substituting sin(x) = y into the equat...

KS
Answered by Kirsten S. Maths tutor
5140 Views

There are n sweets in a bag. 6 of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag and eats it. Hannah then takes at another sweet. The probability that Hannah eats two orange sweets is 1/3. Show that n²-n-90=0

P(2 orange sweets) = P(orange sweet) * P(orange sweet)

(6/n) * (5/(n-1)) = 1/3

30/(n(n-1)) = 1/3

90 = n(n-1)

90 = n2-n

n...

TV
Answered by Tim V. Maths tutor
16370 Views

What is the quadratic formula and how do I use it?

The quadratic formula is a way of solving quadratic equations of the form: ax2+bx+c=0. By plugging in the values a,b and c into it, the solutions for x can be obtained:x = [-b +/- sqrt(b2<...

PM
Answered by Patrick M. Maths tutor
4719 Views

Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.

To find the line's equation, you need the gradient and the y-intercept. The gradient is found using:

(y2-y1)/(x2-x1)

Or simply (change in y direction)/(change in x direction...

KV
Answered by Kara V. Maths tutor
7523 Views

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