Step-by-step explanation:
7+2x-2 = 4x -3
5= 2x -3
2x = 8
x = 4
Some ordered pairs are:(10,5), (0,9), and (3,15) that make the equation true.
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Answer:
d = 234.6 m
Step-by-step explanation:
You can consider a system of coordinates with its origin at the beginning of the walk of the student.
When she start to walk, she is at (0,0)m. After her first walk, her coordinates are calculated by using the information about the incline and the distance that she traveled:
she is at the coordinates (52.97 , 28.16)m.
Next, when she walks 180m to the east, her coordinates are:
(52.97+180 , 28.16)m = (232.97 , 28.16)m
To calculate the distance from the final point of the student to the starting point you use the Pythagoras generalization for the distance between two points:
The displacement of the student on her complete trajectory was of 234.6m
Answer:
<h2>|−9|, −|−9| and −|9| </h2>
Step-by-step explanation:
Before we choose all the expression that is equal to -9, <em>we must understand that the modulus of a value can return both its positive and negative value</em>. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b
Hence the following expression are all equal ro -9
a) |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9
b) −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that −|−9| = −|9| = −9
c) −|9| is also equivalent to -9. This has been established in b above.
Answer:
Step-by-step explanation:
A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse.
Looking at ordered pairs of the function and its inverse would look like this:
(2,4) on the original function becomes (4,2) on the inverse.
While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x.
So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y
I hope this helped you because i barley understood this myself.
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