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Line AB has equation 6x + y - 4 = 1. AB is perpendicular to the line y = mx + 1, find m.

First, we have to know that if 2 lines are perpendicular, the product of their gradients is -1. Next, we have to express the 2 equations in similar ways by rearranging them and making y the common subject. T...
JR
Answered by Jack R. • Maths tutor
4009 Views

Solve (3x+6)/4 - (2x-6)/5 = (x+7)/8.

To solve this equation for x, we need to get x on its own. To do this, we first need to multiply through by the denominators of the fractions, as none of them contain an x term. Multiplying through by 8 firs...
LT
Answered by Laura T. • Maths tutor
18393 Views

How do I differentiate 4x^3 + 2x + x^4 with respect to x?

With differentiation and integration, we can take each term separately. In general, to difference a term involving x's with respect to x, you first multiply the power of x by the coefficient of x to find the...
LT
Answered by Laura T. • Maths tutor
3943 Views

The nth term of a sequence is 7n-4. Write down the 4th term and the 10th term of the sequence. The first four terms of a different sequence are 9, 13, 17, 21. Find an expression for the nth term of this sequence.

The nth term of a sequence means that when we substitute the value of n in to the equation, we find that term. So to find the 4th term in the sequence, we substitute 4 in for n. 7(4)-4=28-4=24. The 10th term...
LT
Answered by Laura T. • Maths tutor
25093 Views

Find the median, mean, and mode of the following set of data: 55, 43, 62, 91, 2, 43, 34, 16, 16.

To find the median, we first need to rewrite the set of data in ascending order of values: 2, 16, 16, 34, 43, 43, 55, 62, 91. We then count how many items are in this list. The median is the item in the midd...
LT
Answered by Laura T. • Maths tutor
5359 Views