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Simplify this algebraic fraction: 2(x+8) + 2(x+6) / x^2 - 49

Let's start with the numerator. According to BIDMAS we first expand the brackets: 2x+16+2x+12 Now add the like terms: 4x+28We can now take 4 out as a factor: 4(x+7)Now looking at the denominator we can re...

Answered by Priti B. • Maths tutor

2642 Views

What are the key characteristics of the Nazi state?

The Nazi state can be categorised in three different ways- political, social and economic.Politically, Nazi Germany was a one-party fascist dictatorship characterised by repression of opposition politicia...

Answered by Isaac B. • History tutor

6007 Views

What would be the effect of a rise in consumption in the economy, use a diagram to help illustrate this effect.

A rise in consumption in the economy would cause an increase in aggregate demand. This is because the formula of aggregate demand is C+I+G+(X-M), with the C standing for consumption. Therefore, a rise in ...

Answered by Chris W. • Economics tutor

12596 Views

In a triangle ABC where angle CAB = 90 and angle ABC = 40 and the hypotenuse = 20cm, what is the length CA? Then find the total perimeter of the triangle.

Use SOH CAH TOA to determine which trigonometric function to useTo calculate CA Sine should be usedWe then get an answer of 12.86cm for CAWe can then either use Cosine or pythagorus to calculate AB
F...

Answered by Jack D. • Maths tutor

2705 Views

Show that the lines y=3x+7 and 2y-6x=8 are parallel (not using a graphical method).

The standard form of a straight line is y = mx + c, where y and x are variables that depend on each other, m is the gradient and c is the y-axis intercept. An important fact for this question is that para...

Answered by Matt B. • Maths tutor

3993 Views