Answer: C. |-4 - 3|
<u>Step-by-step explanation:</u>
x = -4
y = 3
The distance between them is the difference. The mathematical operation for difference is subtraction.
Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.
Answer:
4. 11/6, 121/36
5. 5/8, 25/64
6. 4/7, 16/49
7. 14/9, 196/81
Step-by-step explanation:
The ratio of perimeters is the same as the ratio of corresponding legs:
perimeter ratio = red leg/blue leg
The area ratio is the square of that:
area ratio = (perimeter ratio)²
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<h3>4.</h3>
perimeter ratio = 11/6
area ratio = (11/6)² = 121/36
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<h3>5.</h3>
perimeter ratio = 5/8
area ratio = (5/8)² = 25/64
__
<h3>6.</h3>
perimeter ratio = 4/7
area ratio = (4/7)² = 16/49
__
<h3>7.</h3>
perimeter ratio = 14/9
area ratio = (14/9)² = 196/81
Answer:

For this case we know that
represent the radius,
the height and the rate given is:


And replacing we got:

And that represent 
Step-by-step explanation:
For a tank similar to a cylinder the volume is given by:

For this case we know that
represent the radius,
the height and the rate given is:

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

And solving for
we got:

We need to convert the rate given into m^3/min and we got:

And replacing we got:

And that represent 
Answer:
slope of CE is 2/3
Step-by-step explanation:
used the slope formula: change in y-values / change in x-values