You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.
For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)
<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)
Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates
Hope this helps :)
Answer:
-30% or 30% decrease
Step-by-step explanation:
What's percentage decrease?
- Percent decrease is the difference between the initial value and new value, indicating a loss of value.
- The formula to find percent decrease is
, where NV = new value and IV = initial value.
How do we solve this problem?
- We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV.
- Now, we plug in the values!
Therefore, the answer is 30% decrease.
Answer:

Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

Simplify:

So, our exponential function is now:

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

Solve for <em>b</em>. Divide both sides by 20:

Therefore:
![b=\sqrt[6]{64}=2](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B64%7D%3D2)
Hence, our function is:

Answer:
-2x+y=12
Step-by-step explanation:
linear equation