How to avoid a multipart-line of being produced by an intersect

[TércyoStorck1]

I have two Polyline Features, with a cross-road point.

When i run an Intersect, it creates a segment wich is multi-part, as you see in the pictures attached.

Is there a way to avoid this from happening?

Thank You.

[DanPatterson_Retired]

Since this is in Python, I assume you are doing this by code Polyline—Help | ArcGIS for Desktop  using intersect in that class.  You could follow this by a union.  If the features are coming from two different feature classes, then the dissolve should work on that feature