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Factorise y^2 - y - 12

Looking for a combination of numbers that would multiply to give (-12_ but add together to give (-1)e.g. -6, 2?....-2,6....-4,3 = yes!thus,(y-4)(y+3)

Answered by Lavannya M. • Maths tutor

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5x-7 = 3x + 3, solve x

This is how the answer would be written in an exam!5x - 7 = 3x + 35x-3x = 3 + 72x = 10 x = 10/2x = 5

Answered by Lavannya M. • Maths tutor

3671 Views

Lily goes on a car journey. For the first 30 min. her average speed is 40 mph. She then stops for 15 min. She then completes the journey at an average speed of 60 mph. The total journey time is 1 h. What is her overall average speed?

average speed=total distance/time taken ; distance=speed x timeFor the first part of her motion the distance she travelled, d₁=40 x 1/2 (as 30 minutes represent half an hour), so d₁=...

Answered by Stefania-Alexandra J. • Maths tutor

6966 Views

A shape consists of a quarter circle (radius r = 4cm) attached to a triangle (side length = 4cm and hypotenuse = 5cm). This shape is surrounded by a square (side length 8cm). If the shape is coloured in, what is the area in the square that is uncoloured?

Draw out what the question says. Geometric problems are easier to solve when they can be visualised. First calculate the area of the quarter circle: A = 1/4 \pi r^2Use Pythagoras to calculate the base len...

Answered by Tom A. • Maths tutor

3825 Views

A,B and C all lie on the line x^2 + y^2 = 49 where A is on the y axis, B is on the X axis and C is the mid point of the straight-line connecting A and B.

As we know that A and B are on the axis so sub in X=0 and Y=0 into the equation to solve for the co-ordinates A and B.For A 0²+y²=49y= square root of 49 = 7Do the same for B, whic...

Answered by Oliver W. • Maths tutor

2881 Views