Answer : every point on a line satisfies the related linear equation.A point that is on both lines (the intersection point) satisfies both equations.
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First question , Third option
Second question, 1st option
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Answer:
The distance between the posts is
feet.
Step-by-step explanation:
In the attached figure, let DB and AC be the posts and let AD be the wire attached to the top of the posts.
BC is the distance between the posts and we need to find BC.
Note that BC = DE
Also, EC = DB = 8m and AE = AC - EC = 17 - 8 = 9 m.
Now, in the right triangle ADE,



= (24+9) (24-9)
= 33(15)
= (3 × 11) × (3 × 5)

Since DE = BC,

Hence, the distance between the posts is
feet.