Problem 27)
Refer to the diagram that says "problem 27".
This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.
This equation comes from the simple interest formula below
i = P*r*t
i = 100*0.05*x
i = 5x
y = 5x
Note: The graph is a straight line through (0,0) and (1,5)
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Problem 28)
The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.
The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.
The graph of points is shown below in the figure labeled "problem 28".
When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.
Answer: Thus, the answer is (14.5, 14.83).
Step-by-step explanation: Given that A(2, 4) and B(17, 17) are the end points of a directed line segment AB . We are find the point P on the line segment AB which divides it in the ratio AP : PB = 5 : 1. See the attached figure.
The co-ordinates of point P will be
![P\\\\\\=\left(\dfrac{5\times 17+1\times 2}{5+1},\dfrac{5 \times 17+1\times 4}{5+1}\right)\\\\\\=\left(\dfrac{87}{6},\dfrac{89}{6}\right)\\\\\\=(14.5,14.83).](https://tex.z-dn.net/?f=P%5C%5C%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B5%5Ctimes%2017%2B1%5Ctimes%202%7D%7B5%2B1%7D%2C%5Cdfrac%7B5%20%5Ctimes%2017%2B1%5Ctimes%204%7D%7B5%2B1%7D%5Cright%29%5C%5C%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B87%7D%7B6%7D%2C%5Cdfrac%7B89%7D%7B6%7D%5Cright%29%5C%5C%5C%5C%5C%5C%3D%2814.5%2C14.83%29.)
Therefore, the co-ordinates of point P are (14.5, 4.83).
Thus, the answer is (14.5, 14.83).
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
According to the statement, the line goes through the following points:
![(x_ {1}, y_ {1}) :( 1,1)\\(x_ {2}, y_ {2}) :( 0, -3)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3A%28%201%2C1%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%20%3A%28%200%2C%20-3%29)
We found the slope:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-3-1} {0-1} = \frac {-4} {- 1 } = 4](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B-3-1%7D%20%7B0-1%7D%20%3D%20%5Cfrac%20%7B-4%7D%20%7B-%201%20%7D%20%3D%204)
Thus, the equation is of the form:
![y = 4x + b](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%20b)
We substitute one of the points and find b:
![-3 = 4 (0) + b\\b = -3](https://tex.z-dn.net/?f=-3%20%3D%204%20%280%29%20%2B%20b%5C%5Cb%20%3D%20-3)
Thus, the equation is of the form:
![y = 4x-3](https://tex.z-dn.net/?f=y%20%3D%204x-3)
Answer:
![y = 4x-3](https://tex.z-dn.net/?f=y%20%3D%204x-3)
Answer:
A
Step-by-step explanation:
After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra's error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared.!!