The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>
From the given figure, the coordinate of the vertex A is represented as:
A = (-5, 2)
<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A' = (5 - 2, 2)
Evaluate the difference
A' = (3, 2)
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A'' = (3, -2 + 4)
Evaluate the difference
A'' = (3, 4)
Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)
<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A' = (-5, -2 + 4)
Evaluate the difference
A' = (-5, 2)
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A'' = (5 - 2, 2)
Evaluate the difference
A'' = (3, 2)
Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
Read more about reflection at:
brainly.com/question/4289712
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<u>Answer-</u>
2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.
<u>Solution-</u>
Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.
Taking,
x = number of people,
y = pounds of turkey.
This condition can be represented as,
As given in the question, when x = 6 y = 3
Now, putting the values of k in the equation, the equation becomes
Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.
All the calculations are shown in the attached table.
length of big square
length of small square
difference between length of two square
=5.2-3.5
=1.7
Answer:
5(2a − 3) = (2a − 3) ⋅ 5
Step-by-step explanation:
Commutative Property of Multiplication is switching the order of the numbers around, and that answer demonstrates just that.
