If two different lines intersect, then they intersect at one and only one point.

If two distinct planes intersect, then their intersection is a line. If two distinct lines intersect, then they intersect in exactly one point. If there is a line and a point not in the line, then there is exactly one plane that contains them. If two distinct lines intersect, then they lie exactly in one plane.

Step-by-step explanation:

Step-by-step explanation:

This is true in two-dimensional space.

In three-d space, the lines do not necessarily intersect.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.