Answer:
x(6 + 8x²) or 6x + 8x³.
Step-by-step explanation:
"The square of x" can be represented by x² and 8 times that would be 8 * x² or 8x². The sum of 6 and 8x² can be represented by 6 + x² and the product of x and 6 + x² can be represented by x * (6 + 8x²) or x(6 + 8x²) which simplifies to 6x + 8x³.
Answer:
£11, £33, £22
Step-by-step explanation:
F:D:S= 1:3:2
Fiona £11
Dan £33
Stephen £22
Answer: 9 miles per hour.
Step-by-step explanation:
In 1 hour they would run (1 4/5)/(1/5) = (9/5)*5 = 9 hours. So, they are running 9 miles per hour.
Answer:
2 Units
Step-by-step explanation:
THere may be easier ways to do it, but I would just convert them to rectangular and find the distance between those.
(3, -60) becomes (3cos(-60), 3sin(-60)) = (3/2, -3*sqrt(3)/2)
(-5, 105) becomes (-5cos(105), -5sin(105)) = (5/2, -5sqrt(3)/2)
Now just use the distance formula, or in other words think of the two points as being connected by a horizontal and vertical line to form a right triangle. The idea is to find the hypotenuse of that right triangle.
sqrt((3/2 - 5/2)^2 + (-3sqrt(3)/2 + 5sqrt(3)/2)^2)
sqrt((-2/2)^2 + (2*sqrt(3)/2)^2)
sqrt(1 + 3)
sqrt(4)
2
