Line& lies in the xy-plane. the x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). what is the slope of line k? give your answer as a fraction

Step-by-step explanation:

Given : Line k lies in the xy-plane.

The x-intercept of line K is -4. i.e. line k is intersecting the x-axis at (-4,0).

We know that the mid point of a line passing through any two points (a,b) and (c,d) is .

Then, the  midpoint of the line segment whose endpoints are (2, 9) and (2, 0) will be :-

The slope of line passing through (p,q) and (r,s) will be :-

Then, the slope of line passing through (-4,0) and (2,4.5) will be :-

Hence, the slope of line k

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)