General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes
. We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.
Answer:
The amount we have to deposit in a savings account x = $ 17777.78
Step-by-step explanation:
Amount = $ 20000
R = 2.5 %
Time = 5 years
Take principal amount = x
Simple interest earned in five years
S.I. = ![\frac{P R T}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BP%20R%20T%7D%7B100%7D)
![S.I. = \frac{P (2.5)(5)}{100}](https://tex.z-dn.net/?f=S.I.%20%3D%20%5Cfrac%7BP%20%282.5%29%285%29%7D%7B100%7D)
------- (1)
We know hat total amount is given by
Total amount = principal amount + simple interest
A = x + S.I.
![A = x + \frac{x}{8}](https://tex.z-dn.net/?f=A%20%3D%20x%20%2B%20%5Cfrac%7Bx%7D%7B8%7D)
![A = \frac{9x}{8}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B9x%7D%7B8%7D)
Given that the total amount after 5 years is = $ 20000
![\frac{9x}{8} = 20000](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B8%7D%20%3D%2020000)
x = $ 17777.78
This is the amount we have to deposit in a savings account.
Answer:
75
Step-by-step explanation:
48% of snowstorms caused power outages, which means 52% did not.
Therefore, 39 is 52% of all snowstorms.
39 = 0.52x
x = 75
There were 75 snowstorms over the 5-year period.
4b+6=5 —— that’s correct because it’s asking for the sum of 4 times and number and 6=5 and sum is addition
-20 because after the the thermometer hits zero the more negative the temperature gets the colder it is