Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5           exactly
The distance = 8.94     
The distance = 8.9            To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
 
        
             
        
        
        
Answer:
693
Step-by-step explanation:
7*9*11*3=693
 
        
             
        
        
        
<h2>
Hello!</h2>
The answer is:
The third option:
2.7 times as much.
<h2>
Why?</h2>
To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.
So, calculating we have:
Old can:
Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Where,

We are given the old can dimensions:

So, calculating the volume, we have:

We have that the volume of the old can is:

New can:
We are given the new can dimensions, the diameter is increased but the height is the same, so:

Calculating we have:

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:
2.7 times as much.
Have a nice day!