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Option 3 is the correct answer. The missing values of (x, y) is (8, 20).
<h3>How do you find out the values?</h3>Given that the function is,
The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.
Also, for every value of x, there is a corresponding value of y.
For the given options, we put the values of x to find the corresponding value of y.
For option 1, put x = 0 in the given function,
But for x=0, y= 18, hence option 1 is not correct.
For option 2, put x = 5 in the given function,
But for x=5, y= 19.5, hence option 2 is not correct.
For option 3, put x = 8 in the given function,
But for x=8, y= 20, hence option 3 is the correct answer.
Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).
To know more about the function, follow the link given below.
The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)
<h3>How to match the vertices of the polygon?</h3>The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.
The vertices of polygon ABCD are given as:
A = (4, 6)
B = (5, 3)
C = (4, 2)
D = (1, 2)
The rule of rotation about point C is:
(x,y) = (a + b - y, x + b - a)
Where:
(a, b) = (4, 2) --- the point of rotation.
So, we have:
(x,y) = (4 + 2 - y, x + 4 - 2)
(x,y) = (6 - y, x + 2)
The above means that:
A' = (6 - 6, 4 + 2) = (0,6)
B' = (6 - 3, 5 + 2) = (3,7)
C' = (6 - 2, 4 + 2) = (4,6)
D' = (6 - 2, 1 + 2) = (4,3)
Hence, the image of the rotation and their vertices (i.e. coordinates) are:
A' = (0,6)
B' = (3,7)
C' = (4,6)
D' = (4,3)
Read more about rotation at:
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Answer:
Step-by-step explanation:
Answer for #5
Two Points M(-7,1) and N(5,1).
1. Formula is
2. Let’s say (x1,y1) = (-7,1) and (x2,y2) =(5,1)
3. Distance =
so distance between two warehouses is 12 miles
Answer #6
In the question it is saying the “Distance between two stores is half the distance between warehouses“ so it is = 6 miles
Answer #7
S1(-4,1) and distance of S1 and M is 3 Miles.
Answer #8
S2(2,1) and distance of S2 and M is 3 miles.
