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Maths
GCSE

A is the point with coordinates (5, 9). B is the point with coordinates (d, 15). The gradient of the line AB is 3. Work out the value of d.

y = mx + c m is the gradient and c is the y-interceptUse values for A, x=5 y=9 and m=3so 9 = (3 x 5) + c 9 = 15 + c c = -6Then use coordinates for B, x=d y=15 and m=3so 15 = (3 x d) -6 15 = 3d - 6 21 = 3d...

AB
Answered by Amani B. Maths tutor
4894 Views

There are only 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue.

The probability is the likelihood of an event occurring.In this case, 1 pen is being taken out of a bag of; 7 blue pens, 4 green pens and 6 red pens. This means 1 out of 17 (7+4+6) pens will be taken.We a...

JA
Answered by James A. Maths tutor
4643 Views

Simplify fully [(256x^20)/(y^8)]^ (-1/4).

First, flip the whole fraction so it becomes the (y^8/256x^20)^0.25. This is because there is a negative power, which flips the whole fraction. Secondly, you would solve each element of the fraction indiv...

MW
Answered by Max W. Maths tutor
9081 Views

Work out the value of (16/81)^(3/4)

Firstly it is easier to think of the power (3/4) as two separate parts. The first part being 3/1 (which is the same as cubing a number) and the second part being 1/4 (which is the same as the quartic roo...

SS
Answered by Stefano S. Maths tutor
12755 Views

find the equation of the tangent to the curve y=2x^3+3 at the point where x= -2

know to differentiate to find the gradient of the tangent: y=2x3+3, dy/dx= 6x2When x=-2, dy/dx= 24When x=-2, y=2(-2)3+3, y= -13equation of a tangent is y=mx+c, where y=-13...

DH
Answered by David H. Maths tutor
4858 Views

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