Answer:
The rule of translation is 
.
The translated vector is 
.
Step-by-step explanation:
Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.
We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:
(Eq. 1)
Where:
- Original vector, dimensionless.
- Translation vector, dimensionless.
- Translated vector, dimensionless.
If we know that 
, then the rule of translation is described by:
(Eq. 2)
If 
, then the new location of A is:
The translated vector is .
Answer:
The equation is y = 3/5x - 6
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
3x - 5y = 7
-5y = -3x + 7
y = 3/5x + 7/-5
This gives us a slope of 3/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - -6 = 3/5(x - 0)
y + 6 = 3/5x
y = 3/5x - 6
Subtracting 7 and dividing by -3 on both sides shows us that y = -9
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
a. Calculation to determine How many quarts did they make.
Given: 1 gallon =5 quarts
Hence:
5 gallons of lemonade=5×5 quarts of lemonade
5 gallons of lemonade=25 quarts of lemonade
b. Calculation to determine how much money will they make if they sell it all
Given: 1 quarts=$2.50
Hence:
25 quarts=25 ×$2.50
25 quarts=$62.50
Inconclusion:
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
Learn more here:
brainly.com/question/13442515
Answer:
17.5
Step-by-step explanation:
when y is 35 x is 140 so when x is 70 (divided 140 by 2) you also need to divide the y value by 2 so 35/2 is 17.5
