Here is the formula for finding a partitioning point:
x=x1+k(x2-x1), y=y1+k(y2-y1)
k is the ratio of the segment from the beginning point to the partitioning : the whole segment. In this case, k=AP:AB=5/16
so x=1+(5/16)*(-2-1)=1/16
y=6+(5/16)(-3-6)=51/16
so the answer is (-1/16, 51/16)
Please double check my calculation by yourself.
refer to this website for the formula and how to find k:
"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio."
https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....
Answer:
5/24
Step-by-step explanation:
The question in English is
A tank is filled with water daily to give water to the animals on a farm. As required, 3/8 of the water was taken from the tank to give to the horses and 1/3 of what was left in the tank was given to the pigs. The remainder of the tank was distributed in two equal amounts to give water to the birds and pets. What is the fraction of the water that pets receive to drink?
1) 3/8 of the water was taken from the tank to give to the horses
At this point in the tank there are 1-3/8=5/8 of the water of the tank
2) 1/3 of what was left in the tank was given to the pigs
At this point in the tank there are
(1-1/3)*5/8
(2/3)(5/8)=10/24 of the water of the tank
3) The remainder of the tank was distributed in two equal amounts to give water to the birds and pets
The remainder is equal to 10/24
divided by 2
(10/24)/2=10/48
4) The fraction of the water that pets receive to drink is 10/48
simplify
10/48=5/24
It is true because the y and x will always be the same number and a vertical line has no slope thus equaling 0,0
Total Cost= $0.20x+$42.00
Total Cost= $98.00
$98.00=<span>$0.20x+$42.00
Subtract $42.00 from each side of the equation
$56.00=$0.20x
Divide both sides by $0.20
x=280 miles
Zachary could drive a maximum of 280 miles per day that he rents the car. </span>
Answer:
Step-by-step explanation:
