zalbesifki12
18.09.2019 •
Mathematics
Points c,d, and e are collinear on ce, and cd: de = 3/5. c is located at (1,8), d is located at (4,5), and e is located at (x,y). what are the values of x and y
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Ответ:
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
Find the distance CD
we have
C(1,8), D(4,5)
substitute in the formula
Find the distance DE
substitute the value of CD in the equation B and solve for DE
Find the distance CE
we have
substitute the values in the equation A
Applying the formula of distance CE
we have
C(1,8), E(x,y)
substitute in the formula of distance
squared both sides
-----> equation C
Applying the formula of distance DE
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
Ответ:
purpurel
Step-by-step explanation: