Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
Answer:
1. 70
2. 65
3. 115
4. 65
5. 65
6. 65
7. 65
Step-by-step explanation:
All of them are correct so dont worry
Have a nice day
Answer:
1320, permutation
Step-by-step explanation:
There are 12 members
Pick a president
We have 12 choices
Now there are 11 people left to pick from
now pick a vp
We have 11 choices
Now there are 10 people left to pick from
now pick a secretary
We have 10 choices
12*11*10 = 1320
This is a permutation since it matters who is president, vp and secretary
Answer:
2/5 or 0.40
Step-by-step explanation:
Val's result for heads is ...
8/20 = 2/5 = 0.40
If the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:
r^2=0^2+4^2
r^2=16
r=4
so we can check that the other point is four units from the origin and thus also on the circle...
d^2=2^2+6^2
d^2=4+36
d^2=40
since d^2>r^2, (2,6) is outside the circle...
