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Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

Firstly we must appreciate that if there is an intersection between l and m, this means that there exists a point that occurs on both lines. Therefore if there is an inte...

HD
Answered by Harry D. Maths tutor
8107 Views

Solve this equation; 5x - 4 = 3x + 7

In order to solve equations of x it is necessary to move all the Xs over to one side and the other numbers over to the other side;

5x - 4 = 3x + 7

As 5x is greater than 3x i...

KE
Answered by Kate E. Maths tutor
14668 Views

Insert one pair of brackets so that this calculation is correct; 3 x 6 + 5 - 1 = 32

3 x 6 + 5 - 1 = 32 
Without any brackets the answer to the calculation would be 22 following the rules of BIDMAS (Brackets, Indices, Division, Multiplication, Addition, Subtraction)

KE
Answered by Kate E. Maths tutor
14958 Views

Bag A contains £7.20 in 20p coins. Bag B contains only 5p coins. The number of coins in bag B is three-quarters of the number of coins in bag A. How much money is in bag B? (in £s)

We have been told that there is £7.20 in bag A, to simplify this, you can begin by turning this into pennies as well. So we have 720p in bag A. We need to know how many 20p coins this is, so we will divid...

JK
Answered by Jessica K. Maths tutor
4922 Views

Solve the inequality 6y + 5 > 8

Begin by taking the 5 over to the other side. In other wise take 5 away from both sides. This leaves you with 6y>3. Next divide both sides by 6. Hence the final answer will be y>3/6 which simplif...

RT
Answered by Riya T. Maths tutor
8516 Views

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