PLEASE HELP ME I AM CONFUSED
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The diagram of the pentagon is missing, so i have attached it.
Answer:
|AE| = 130 m
|DE| = 150 m
Perimeter of pentagon = 720 m
Step-by-step explanation:
From the diagram, we can find AE from pythagoras theorem;
|AE| = √(|AA'|² + 50²)
Where AA' is the length from A to the perpendicular angle.
Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30
AA' = AB - A'B = 150 - 30
AA' = 120
Thus;
|AE| = √(120² + 50²)
|AE| = √(14400 + 2500)
|AE| = √16900
|AE| = 130
Similarly,
|DE| = √(|DD'|² + |ED'|²)
ED' = BC - 50
ED' = 140 - 50
ED' = 90
Also, DD' is parallel to AA' and is = 120
Thus;
|DE| = √(120² + 90²)
|DE| = √22500
|DE| = 150
Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720
Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)^2-29
we have
f(x)=(x-9)^2-29
This is a vertical parabola, open upward
The vertex represent a minimum
The vertex of the parabola is the point (9,-29)
The domain is all real numbers
The range is the interval {-29, infinite)
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
In this problem
axis of symmetry is x=9
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