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The equation of Line 1 is y=2x-2 and the equation of Line 2 is 2y-4x+5=0. Prove that these 2 lines are parallel to each other.

In order for 2 lines to be parallel, they must have the same gradient. As such, the first thing we should do is rearrange these equations in the form of y=mx+c, where m is the gradient and c is the y-inte...

Answered by Darsh S. • Maths tutor

3058 Views

How do I solve a simultaneous equation in two variables when they have with different coefficients?

First have a look at the coefficients of each variable. You're trying to spot if the coefficient of one variable is a multiple of the coefficient of the other in the second equation. If so, you can multi...

Answered by Ryan W. • Maths tutor

2971 Views

Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0

first we have to see if this proble can be done via inspection. The power of two means that this can't be done straight away and the expression does not look like any trig identities.
Expand it.

Answered by Eugene C. • Maths tutor

2805 Views

Integrate (sin(x))^6 - Further mathematics (De Moivre's theorem)

Recall that sin(x) = (e^ix-e^-ix)/(2i) and we can rewrite the integrand as {(e^ix-e^-ix)/(2i)}⁶Factor out {1/(2i)}⁶, which is -1/64, of the in...

Answered by Akaash P. • Maths tutor

5375 Views

What are the external angles of a regular hexagon?

(A diagram would be used to show what the external angles are)For any regular shape the external angles add up to 360 degrees. The external angles will all be equal since we are dealing with a regular sh...

Answered by Hannah B. • Maths tutor

3739 Views