The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
Learn more about the geometric transformation here:
brainly.com/question/16156895
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Answer:
x=-4
Step-by-step explanation:
Answer:If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.
The equation you want to set up is
0.5x+7=18
Where, 18-7=11
0.5x=11
11/.5 = x
x = $22
Thus, Mary has a weekly allowance of 22 dollars.
Step-by-step explanation:
Using the slope concept, it is found that the rate of download of the file is of 1920 MB/s.
<h3>What is the slope?</h3>
The slope of a linear function is given by the <u>change in the output divided by the change in the input</u>.
In this problem:
- 3 minutes since resuming the download 6720 total MegaBytes (MB).
- 5 minutes since resuming the download 10560 total MegaBytes (MB) of the file had been downloaded..
- Hence, in 2 minutes, there was a change of 10560 - 6720 = 3840 MB, which means that the slope is:
The rate of download of the file is of 1920 MB/s.
You can learn more about the slope concept at brainly.com/question/25934562