Alexa is designing a paper airplane whose final shape, when viewed from the top or bottom, is a trapezoid. A sketch of her
1 answer:
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Answer:
The point E is located at (9,0)
x=9, y=0
Step-by-step explanation:
we have that
Points C,D, and E are collinear on CE
Point D is between point C and point E
we know that
-----> equation A (by addition segment postulate)
------> equation B
the formula to calculate the distance between two points is equal to
<em>Find the distance CD </em>
we have
C(1,8), D(4,5)
substitute in the formula
<em>Find the distance DE</em>
substitute the value of CD in the equation B and solve for DE
<em>Find the distance CE</em>
we have
substitute the values in the equation A
<em>Applying the formula of distance CE</em>
we have
C(1,8), E(x,y)
substitute in the formula of distance
squared both sides
-----> equation C
<em>Applying the formula of distance DE</em>
we have
D(4,5), E(x,y)
substitute in the formula of distance
squared both sides
-----> equation D
we have the system
-----> equation C
-----> equation D
Solve the system by graphing
The intersection point both graphs is the solution of the system
The solution is the point (9,0)
therefore
The point E is located at (9,0)
see the attached figure to better understand the problem
