Answer:
x = 0
Step-by-step explanation:
D = (-8, -3), D' = (8, -3)
The line of reflection is the perpendicular bisector of the segment between these points. In order to find that, we need to know the slope and midpoint of the segment DD'.
<u><em>Slope</em></u>
The slope of the line DD' is ...
... m = (change in y)/(change in x) = (-3 -(-3))/(8 -(-8)) = 0/16 = 0
The line through point D with slope 0 is ...
... y = 0(x -(-8)) +(-3)
... y = -3
<u><em>Midpoint</em></u>
The midpoint of the segment DD' is the average of their coordinates:
... M = (D +D')/2 = ((-8, -3) +(8, -3))/2 = (-8+8, -3-3)/2 = (0, -3)
<em><u>Perpendicular bisector</u></em>
The line perpendicular to the horizontal line y=-3 through the point M = (0, -3) will be a vertical line of the form ...
... x = constant
The x-coordinate of the point (0, -3) tells us the constant, so the line of reflection is ...
... x = 0
Given:
The longer sides of a rectangular garden = 15 feet
It were 3 times longer than the shorter sides.
To find:
The total distance covered by Zack if he walked all the way around the garden.
Solution:
Let the shorter side be x.
Longer side = 15 feet
According to given equation, longer side is 3 times longer than the shorter sides.
Divide both sides by 3.
So, the measure of shorter side is 5 feet.
The total distance covered by Zack if he walked all the way around the garden is the perimeter of the garden.
Perimeter of rectangular garden is
Therefore, the total distance covered by Zack is 40 feet.
16 cups in a gallon
Monday: 16-2=14
Tuesday: 14-3=11
Wednesday: 11-4=7
7 cups of milk are left
Answer:
7/23
Step-by-step explanation:
First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.
There you go! Have a nice day. Mark brainliest if possible please ;)
Answer:
I dont know for sure but i think its 5 or 4 feet