Answer:
![(x,y)\rightarrow (4x+12,-4y+16)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%284x%2B12%2C-4y%2B16%29)
Step-by-step explanation:
<u>1 transformation</u> - translation 3 units to the right and 4 units down. This translation has the rule
![(x,y)\rightarrow (x+3,y-4)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2B3%2Cy-4%29)
<u>2 transformation</u> - reflection across the x-axis. This reflection has the rule
![(x,y)\rightarrow (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2C-y%29)
<u>3 transformation</u> - dilation by a factor of 4 with the origin as the center of dilation. This dilation has the rule
![(x,y)\rightarrow (4x,4y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%284x%2C4y%29)
Now, the sequence of these three transformation has the rule
![(x,y)\rightarrow\limits^{\text{1st transformation}} (x+3,y-4)\rightarrow\limits^{\text{2nd transformation}}(x+3,-(y-4))\rightarrow\limits^{\text{3rd transformation}} (4(x+3),4(-(y-4)))\\ \\(x,y)\rightarrow (4x+12,-4y+16)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%5Climits%5E%7B%5Ctext%7B1st%20transformation%7D%7D%20%28x%2B3%2Cy-4%29%5Crightarrow%5Climits%5E%7B%5Ctext%7B2nd%20transformation%7D%7D%28x%2B3%2C-%28y-4%29%29%5Crightarrow%5Climits%5E%7B%5Ctext%7B3rd%20transformation%7D%7D%20%284%28x%2B3%29%2C4%28-%28y-4%29%29%29%5C%5C%20%5C%5C%28x%2Cy%29%5Crightarrow%20%284x%2B12%2C-4y%2B16%29)
The number of feet of fencing that is needed to go around the pool path is D. 201 ft.
<h3>
How to calculate the number of feet?</h3>
We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.
= (28 + 4) feet
= 32 feet
The circumference of the outer edge of the pool path would be equal to the perimeter.
p = 2 * pi * r
p = 2 * 3.14 * 32
p = 200.96 feet
p = 201 feet
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Answer:
-23 degree
Step-by-step explanation:
=>-14-5-3-1
=>-23
Answer:
40 miles per hour
Step-by-step explanation:
From 11:15 to 1:15 it's 2 hours.
They drove 80 miles in 2 hours.
unit rate = speed = distance/time = (80 miles) / (2 hours) = 40 miles per hour
-4 is greater since its negative then what you would call a smaller number is always greater