Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Answer: The relationship between distance and time is 
and the graph is continuous.
Step-by-step explanation:
Since we have given that
Number of hours he hiked = 2 hours
Distance covered = 5 miles
Speed would be
Let the distance be 'd'.
Let the time be 't'.
so, the relation between distance and time would be
The graph is continuous because it is not based on counts and the points are connected with a continuous line without any break.
Hence, the relationship between distance and time is and the graph is continuous.
I believe this would be 28 feet. You find this by dividing 7/8 to get the decimal of the fraction. (Which is 0.875) Then multiply by 32 ft to get the answer. Hope this helps!
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do 
of job = 2 hours
i.e. Time for complete job done alone by Kelly =
Rest of work = 
of the job
of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together = 
Let t be the time taken by Annette to do job alone.
Then, as per situation
hence, Annette will take 6 hours to do the entire job alone.
Answer:
The length and width of the pool = 24 ft and 16 ft
Step-by-step explanation:
Let length of pool be l and width of pool be w.
A pool in the shape of a rectangle has a perimeter of 80feet.
Perimeter of pool = 2 x ( l + w ) = 80 feet
That is
l + w = 40 ft -----------------------------------eqn 1.
The pool is 8 feet less wide than it is long.
l = 8 + w
l - w = 8 ft -----------------------------------eqn 2.
eqn 1 + eqn 2
2 l = 48
l = 24 ft
Substituting
24 + w = 40
w = 16 ft
The length and width of the pool = 24 ft and 16 ft
