Which value of y makes the two matrices inverses of each other? 6
14
2
-2
-4
y
3
2
LID
0-1
01
1
2

as given ,→planes t and x are parallel.

→plane t contains line a.

→plane x contains line b.

as we know by definition of line , if we take any two points on a plane the line should completely lie on it i. pass through these two points.

out of the four options given it seems that two possibilities might be true.

1. they may be skew lines , so they will never intersect.

2.if lines a and b are parallel, so again they will not intersect.

other two seems incorrect

because if a and b are perpendicular to the plane ,

1. either they will join each other to form a unique line or2. they will never intersect.

there is no possibility that they will intersect at two points.

let x be number of half-dollars and y be number of dimes

total value: 0.5x + 0.1y = 3.60

total amount: x + y = 24

solving this system of equations, we get that x = 3 and y = 21. (a proof of this fact has been left to the reader.) so there are 3 half dollars and 21 dimes.