Answer:
14 Yards
Step-by-step explanation:
Answer:
GT, GV, PT, PV, ET, and EV.
Step-by-step explanation:
Given that
The number of topics Travis has to chose from are 3 topics(G, P, E).
The number of ways Travis can study each topic are 2 ways(T, V).
Essentially, the number of combinations Travis is expected to be able to chose from is given as
The number of combinations = The number of topics * The number of ways
The number of combinations = 3 * 2
The number of combinations = 6
Therefore, the total possible combinations has to be
GT, GV, PT, PV, ET, and EV
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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Answer:
option (b) is correct.
The value of 
is 0.
Step-by-step explanation:
Given: 
and 
We have to find the value of
Consider the given function
First evaluate value of function f(x) at x = 3 and 1 then substitute it in .
f(3) = 1 + 3 = 4
f(1) = 1 + 1 = 2
Substitute, we get
Solving further , we get,
Now evaluate at t = 0 , we get,
Thus, value of is 0.
Thus, option (b) is correct.
