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Show that the lines y=3x+7 and 2y–6x=8 are parallel. Do not use a graphical method.

y=3x+7 2y-6x=8 2y-6x=82y=8+6xy= 4+3xy=3x+4When both equations equal y they both have a 3 in front of their x meaning that they both have a gradient of 3.
JM
Answered by Jordan M. • Maths tutor
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What is osmosis?

Osmosis is the passive diffusion of water, which therefore, doesn't require any energy to occur. Typically water will move from an area of high concentration to an area of low concentration across a semi-per...
MW
Answered by Matthew W. • Biology tutor
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A hemisphere is placed on top of an upside down cone. The cone has height 9cm and the hemisphere has radius 3cm. The total volume of this composite solid is x cm^3. Calculate the value of x, leaving your answer in terms of π.

To work out the total volume of the composite solid, we need the volumes of both the cone and the hemisphere. GCSE Maths students are expected to know these respective formulae; volume of a sphere = ⁴/₃πr³ a...
EC
Answered by Elliot C. • Maths tutor
9088 Views

Find the values of x and y using the simultaneous equations: x+y=11, y-6=15

First solve the equation with only one unknown to find y:y-6=15Add 6 to both sides to get the value of y:y=15+6y=21Now there is only one unknown we can solve for x:x+21=11x=11-21x=-10Check the values are cor...
JF
Answered by Jack F. • Maths tutor
3781 Views

How should I approach source-based questions?

How you should approach source-based questions depends entirely on what you're being asked to do with the sources. Look at the question and establish what you need to do answer it. There are usually three th...
TD
3280 Views