What is the image of E for a dilation with center (0, 0) and a scale factor of 6?
1 answer:
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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
Answer:
The capacity of the mug = cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is full of water
⇒Total cups of water in the mug =
Now,
Given that, The mug contains of a cup of water.
∴ we get
=
⇒x = × 8
=
= =
⇒x =
∴ we get
The capacity of the mug = cups