The ordered pair of the point I' is (-0.8, 2.4)
<h3>The complete question</h3>
Hexagon IJKLMN is shown on the coordinate plane below. If hexagon IJKLMN is dilated by a scale factor of two fifths from the origin to create hexagon I'J'K'L'M'N', what is the ordered pair of point I'?
<h3>How to evaluate the ordered pair of point I'?</h3>
From the complete question, the ordered pair of point I is given as:
I = (-2,6)
The scale factor (k) is given as:
k = 2/5
The image of the dilation is calculated using:
I' = I * k
This gives
I' = (-2,6) * 2/5
Evaluate
I' = (-0.8, 2.4)
Hence, the ordered pair of point I' is (-0.8, 2.4)
Read more about dilation at:
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Answer:

Step-by-step explanation:
we know that
The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet
The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units
therefore
If the radius of the circular flower garden in the actual is 60 feet
then
the radius of the circular flower garden in the blueprint is 6 units
Find the center of the radius in the blueprint
Remember that the circular flower garden is in the center o the backyard
so
To find out the center, determine the midpoint of the rectangular backyard
C((0+30)/2,(0+60)/2)
C(15,30)
The equation of a circle in center radius form is equal to

where
(h,k) is the center
r is the radius
we have

substitute


Answer:
p = (200 -5s)/11
Step-by-step explanation:
I think you meant p is the price of piranhas, and a is the price of one shark.
You have:
11p + 5s = 200
11p = 200 - 5s
p = (200-5s)/11
Does that help? ;)
Answer:
33
Step-by-step explanation:
So the angle of 40 is a vertical angle with the one opposite of it, meaning that the triangle on the left would have two values of 40 and 41, to find the value of the 3rd angle of the left triangle, you can subtract 40 and 41 from 180 which is the total number of degrees in a triangle to get 99, then you can find the degrees of the triangle on the right's bottom angle by subtracting 99 from 180, meaning the bottom left angle would be 81, then you can do the same to find the other angle by subtracting 114 from 180 to get 66. Lastly you can add 81 and 66 to get 147, then subtracting 147 from 180 you would get x=33
Answer:
D. 20
Step-by-step explanation:
13 - 2 (1-15) ÷ 4
First deal with whatever in the parentheses
13 - 2 (-14) ÷ 4
Multiply and divide from left to right
13 - (-28) ÷ 4
13 - (-7)
The negatives would cancel so add 13 and 7 to get 20