Point a is located at (0, 4) and point b is located at (−2, −3). find the x value for the point that is 1 over 4 the distance fr
2 answers:
Answer:
<h2>Third choice: -0.5 is the right answer.</h2>Step-by-step explanation:
Givens
- The x-value of point A is 0.
- The x-value of point B is -2.
The total distance from point A to point B is 2, which means we need to divide 2 by 4, because the x-value we need to find is 1/4 of the distance.
Therefore, the x-value is -0.5. So, the right answer is the third choice.
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Answer:
Step-by-step explanation:
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and
and
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Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle (), in square centimeters, is described by following expression:
(1)
Where:
- Width, in centimeters.
- Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle (), in square centimeters per second:
(2)
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- Rate of change of the width of the rectangle, in centimeters per second.
- Rate of change of the length of the rectangle, in centimeters per second.
If we know that ,
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and
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The area of the rectangle is increasing at a rate of 168 square centimeters per second.