Calculate the distance between the points k = −1, −4 and l = −82 in the coordinate plane. give an exact answer (not a decimal approximation).

√85

Step-by-step explanation:

The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...

... d = √((x2-x1)^2 +(y2-y1)^2)

For your points (-1, -4) and (-8, 2), the distance is ...

... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)

... d = √85

The distance between the two points is √85.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,