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Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equati...
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Answered by Emma J. • Maths tutor
3168 Views

There is a spinner game at a fair. The spinner is numbered with all even numbers from 2 to 12. Each section is equal in size. Dan has numbers 4 and 10. What is the probability that he wins a prize? Give your answer as a fraction in its simplest form.

The even numbers from 2 to 12: 2, 4, 6, 8, 10, 12That means there are 6 numbers on the spinner If Dan has 4 and 10 and all the portions are the same, the chances of landing on 4 or 10 is 2/6Simplifying this ...
KB
Answered by Katherine B. • Maths tutor
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If I know the length of the hypotenuse and one angle, how do i find the length of the side opposite to the angle?

In this problem, we are concerned with the hypotenuse and the opposite sides of the right angle triangles. From SOHCAHTOA we can see that the opposite (O) and hypotenuse (H) are associated with the sine func...
JC
Answered by Jake C. • Maths tutor
3295 Views

What is the equation of the straight line passing through the points (2,3) and (3,5)?

There are three steps to solving these types of straight line problems. 1) Find the gradient (slope) of the line. 2) Find the point slope formula. 3) Solve for y. 1) The gradient (m) of the line between any ...
OM
Answered by Omar M. • Maths tutor
6506 Views

Expand and simplify: (10-x)/2 = 2x - 6

This is a typical example of a 3 mark question on a GCSE higher paper. The first mark would be awarded for multiplying both sides of the equation by 2, and then expanding the brackets:10 - x =2(2x-6)10 - x =...
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Answered by Amy G. • Maths tutor
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