Answer:
x=5/18
Step-by-step explanation:
The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>
Suppose that there is a line segment 
such that a point P(x,y) lying on that line segment divides the line segment in m:n, then, the coordinates of the point P is given by:
where we have:
- the coordinate of A is
- and the coordinate of B is
We're given that:
- Coordinate of A is = (-7,2)
- Coordinate of B is = (9.-6)
- The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)
Let the coordinate of P be (x,y), then we get the values of x and y as:
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
Learn more about a point dividing a line segment in a ratio here:
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We simply need to find a common denominator. The common denominator between the two (LCM/Least common multiple for denominator) is 24.
Now, we multiply the numerators also. We have our new numbers: 2 8/24 for October, 12/24 for November, and 3 9/24 for December. Now, we have to add them together. 2 8/24 + 12/24 = 2 20/24
Now, add the December value to the combined October/November values.
2 20/24 + 3 9/24 = 5 29/24
Now, we need to simplify the fraction.
6 9/24
Answer: 6 3/8 inches of rain occured in the three months.
Answer:
w(x)=2.3x+31
Step-by-step explanation:
From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:
w(x)= 2.3x+31, where:
w(x)= weight of the dolphin
x=number of days
