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Maths
GCSE

Joan cycles from her house to a shop 900 m away. She then cycles to her friends' house 700 m away. The average speed for the first part of her journey is 2 m/s. The second part takes her 16 mins. What is the average speed for her entire journey?

S: 900 700D: 2 m/sT: 960s
Need to find speed in seconds so convert 16 mins to seconds.
To find average, we must find time for the first part. Using...

AR
Answered by Aisha R. • Maths tutor
2750 Views

In a triangle ABC, side BC = 8.1 cm, side AC = 7 cm, and angle ACB = 30 degrees. What is the area of the triangle?

Initially, one might think to use area = 1/2 x base x height, however drawing the triangle immediately shows that this is not possible here. We then think to use the formula for area using two adjacent si...

EB
Answered by Ellie B. • Maths tutor
3492 Views

Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.

For the first part of the question, we can firstly assume that the... area of slab 1 + area of slab 2 + area of slab 3 = total area, which we know to be 7m^2Knowing that to work out the area of a squa...

NJ
Answered by Nathan J. • Maths tutor
5585 Views

The point (-3, -4) is the turning point of the graph of y = x^2 + ax + b, where a and b are integers. Find the values of a and b.

The function y = x2 + ax + b is a quadratic polynomial and therefore has one turning point. The turning point of a quadratic graph is either the maximum or minimum point. The coefficient of x

OL
Answered by Oliver L. • Maths tutor
15088 Views

Expand and simplify (x − 4)(2x + 3y)^2

Rewrite (x − 4)(2x + 3y)2 as (x - 4)(2x + 3y)(2x + 3y)
Multiply out the first two brackets to give -(2x2 + 3xy - 8x2 - 12y)(2x + 3y)
Multiply o...

HK
Answered by Henry K. • Maths tutor
15133 Views

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