Hello there,
The <em>answer is </em>A' (-3,2).
<h3>Step-by-step explanation:-</h3>
From the image shown on the xy-plane, the coordinate of point A is at (3,-2).
The rule for rotation by 180° about the origin is (x,y)→(-x, -y), where (x,y) is the coordinate of image and (-x, -y) is the coordinate of the resulting pre-image.
Given the coordinate point A(3,-2), if this coordinate is rotated 180°, the resulting point A' will be located at (-3,-(-2)) = (-3,2).
Therefore, the answer will be <u>A'(-3,2)</u>
✍️ <em>by </em><em>Benjemin</em> ☺️
Answer:
10 committees
Step-by-step explanation:
Let's say there names are Bob, Doris, Brenda, Alex, and Emma.
Bob and Doris
Bob and Brenda
Bob and Alex
Bob and Emma
Doris and Brenda
Doris and Alex
Doris and Emma
Brenda and Alex
Brenda and Emma
Alex and Emma
these are all different groups starting with only 5 people leading to 10 possible variations of the committee members
Hope that helps! :)
Answer:
900
Step-by-step explanation:
(n – 2)180 where n is the number of sides
since this is a 7 sided polygon
(7-2) * 180
5 * 180
900
Answer:

Is the answer
Step-by-step explanation:


That is why

And

E^2x -2e^x -8=0 => e<span>^(2x) -2e^x -8=0
Temporarily replace e^x with y.
Then (y)^2 - 2y - 8 = 0. Factors are (y-4) and (y+2).
Roots are y = 4 and y= -2.
Now remembering that we temporarily replaced e^x with y, we let
y=4 = e^x. We need to solve for x. Taking the natural log of both sides, we get:
ln 4 = x (answer)
We have to discard the other root (y= -2), because we cannot take the ln of a negative number.
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