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What is the value of x if 2X+1: 3 = 5: 9?

The product of the inside (3 and 5) and the product of the outside (2X+1 and 9) are equal to each other. Therefore 18X+9 = 15. Therefore 18X =6 and if we divide both sides by 18, we get X=1/3.

Answered by Hosouk L. • Maths tutor

6863 Views

Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis

First find the coordinates of the point in question:We know x=0By plugging this into the equation of the line we get y=(0-2)² = (-2)² = 4Therefore the point is (0,4)
To find the...

Answered by Alec J. • Maths tutor

3090 Views

How do I solve simultaneous equations using the substitution method?

2y + x = 8 (equation 1) and 1 + y = 2x (equation 2)Step 1: make y subject of equation 2: y = 2x - 1 Step 2: sub this value of y into equation 1: 2(2x - 1) + x = 8 Step 3: solve the above ...

Answered by Lulu H. • Maths tutor

2675 Views

Find the roots of the following equation 2x^2-11x+14=0

First start by copying down the question and making sure that you have copied all of the correct numbers. We then identify that it is a quadratic equation due to there being an x raised to a power 2 term....

Answered by Jack D. • Maths tutor

2507 Views

Simplify \sqrt{98} - \sqrt{32} giving your answer in the form k*sqrt{2} where k is an integer

Let's begin with the basics, before we begin we should be able to answer what is a surd? and What rules do we need?\begin{equation}...\end{equation}Answer: 3*sqrt{2}

Answered by Corey V. • Maths tutor

2157 Views