You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
A culture of 2.4 × 10^11 bacteria is in a Petri dish A
A culture of 8 × 10^9 bacteria is in Petri dish B
Number of times number of bacteria in Petri dish A is greater than that number in Petri dish B:

Divide 2.4 by 8 to give 0.3
Divide 10^11 by 10^9 to give 10^(11-9) = 10^2
The answer is 0.3 × 10²
Answer:
i dont know
Step-by-step explanation:
Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:

In which a is a multiplier.
When r=4 M=160.
We use this to find a. So





So

1) work out the value of M when r=2

When r = 2, M = 20.
2) work out the value of r when M=540




![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)

When M = 540, r = 6.
Answer:
5x^3-4x-1
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/2x%5E%7B3%7D%2B4x-6%20%2B%203x%5E%7B3%7D-8x%2B7
I use symbolab, it's the best calculator for everything. Hope this helps!