Answer:
.
Step-by-step explanation:
If a line passing through two points, then

Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN 
The endpoints of segment AB have coordinates
and
.

.
Slope of AB 




Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1







Therefore, the value of k is
.
Answer:
Let w be the width. Then the length is 2w-4. So:
w(2w-4)=96
2w²-4w-96=0
w²-2w-48=0
(w-8)(w+6)=0
w=8 or -6
Throwing out the negative value for w, we get a width of 8 yds, and a length of 12 yds. ☺☺☺☺
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =

= -0.75 ........> accepted choice
For point (2,8):slope =

= 0.75 ........> rejected choice
For point (-5,1):slope =

= 4/3 ........> rejected choice
For point (1,1):slope =

= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
First write nine ten thousands in standard form which is 90,000. Next divide 90,000 by 10 and you should get 9,000 by crossing out one zero in both numbers. To get 9,000 in unit form all you have to write is 9 thousands. And your answer is 9 thousands