Could y’all help me out with this?
1 answer:
Answer:
M' (5,-1)
D' (5,1)
A' (3,4)
W' (4,-1)
Step-by-step explanation:
We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
Explanation of rule: Simply swap the places of the x and y values.
Applying rule to given coordinates:
M(-1,5) -----> swap x and y values -----> M'(5,-1)
D(1,5) ----> swap x and y values -----> D'(5,1)
A(4,3) -----> swap x and y values -----> A'(3,4)
W(-1,4) -----> swap x and y values -----> W'(4,-1)
So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)
For more validation, refer to the attached image
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Answer:
130
Step-by-step explanation:
From the FIQURE of the question, we can see that line "e" is parallel to line "f" then we can say (2x + 18)=( 4x - 14)
Then we can collect like terms
2x-4x= -14-18
-2x=-32
The negatives cancelled out we have
x = 16
From the question, At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees
Angle on a straight line is 180° then we can calculate "y" as
y = 180 - (4x - 14)
= 180-4x+14
= 180+14-4x
But x= 16, then substitute we have
= 180 +14 - 14(16)
= 130
Hence, the value of y is 130
CHECK THE ATTACHMENT FOR THE FIQURE
Answer:
The current price is $3000 and price after 9 years from today is $4054.
Step-by-step explanation:
The future price pt(in dollars) of a certain item can be modeled by the following exponential function
where, t is the number of years from today.
Substitute t=0 to find the current price.
Therefore the current price is $3000.
Substitute t=9 to find the price after 9 years from today.
Therefore the price after 9 years from today is $4054.