Answer:
B. Arundel High School is on Annapolis Road in Gambrills, Maryland; it is home to the Wildcats.
Step-by-step explanation:
Choice A lacks a verb to connect the thought and "high school" is not capitalized here. It should be capitalized because its name is part of a school.
Choice C didn't use the semicolon properly. This punctuation is used when you are trying to separate two independent clauses. The second clause, "home to the Wildcats" is a dependent clause.
Choice D didn't use the conjunction "and" properly. When you're connecting two independent clauses with a conjunction, you should put a "comma" before the conjunction.
It is only Choice B that is grammatically correct. It made use of the semicolon properly. It connected two statements in order to prevent pause and to make it readable.