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Work out 2 7/15 -1 2/3

First turn into improper fractions37/15 - 5/3Get same denominator on bottom37/15-25/15Take away numerator (37-25)/15= 12/15 Simplify 4/5

Answered by Henry G. • Maths tutor

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2 identical trolleys of mass M(one is loaded with 2 blocks of mass m) are on a ramp inclined at 35° and are connected by a wire that passes around a pulley at the top of the ramp. They are released and accelerate accordingly. Show that a=(mgsin35°)/(M+m).

Construction of Free Body Diagrams of the Trolleys and resolving the forces (Weight and Tension) components acting parallel to the ramp (assuming friction and air resistance are negligible) show that for ...

Answered by Neophytos V. • Physics tutor

3295 Views

How would you factorise x^2 + 4x + 4

This is in the form ax² + bx + cWhere, a= 1b=4c=4To factor we have to find two numbers that:Add up to b, in this case 4Multiply together to give c

Answered by Toby B. • Maths tutor

2865 Views

Points P and Q are situated at coordinates (5,2) and (-7,8) respectively. Find a) The coordinates of the midpoint M of the line PQ [2 marks] b) The equation of the normal of the line PQ passing through the midpoint M [3 marks]
a) For finding the midpoint M, the point M must be equidistant from P and Q in both the x and y axes. Hence, we consider the x and y axis separately. The midpoint of the x coordinates is essentially a mea...
JU
Answered by Justin U. • Maths tutor
3821 Views

The gradient of the curve at A is equal to the gradient of the curve at B. Given that point A has x coordinate 3, find the x coordinate of point B.
We are told f(x) = (2x-5)^2 (x+3).In part b) we are asked to show that f'(x) = 12x^2 -16x -35, so for part (c) we shall assume this definition for f'(x). We are told that the x coordinate for A is 3. Call...
TF
Answered by Thomas F. • Maths tutor
5898 Views

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Top answers

Work out 2 7/15 -1 2/3

2 identical trolleys of mass M(one is loaded with 2 blocks of mass m) are on a ramp inclined at 35° and are connected by a wire that passes around a pulley at the top of the ramp. They are released and accelerate accordingly. Show that a=(mgsin35°)/(M+m).

How would you factorise x^2 + 4x + 4

Points P and Q are situated at coordinates (5,2) and (-7,8) respectively. Find a) The coordinates of the midpoint M of the line PQ [2 marks] b) The equation of the normal of the line PQ passing through the midpoint M [3 marks]

The gradient of the curve at A is equal to the gradient of the curve at B. Given that point A has x coordinate 3, find the x coordinate of point B.

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