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:
m= 5/2
Step-by-step explanation:
Points: (0, 2) and (4, 12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12-2)/(4-0)
m=10/4
m= 5/2
So its a penny and a half dollar that will give you $0.51 so you can do this
starting with your 51 pennies you can get rid of every 5 pennies and replace them with a nickel so say you get rid of 10 pennies you would have 2 nickels
so 51/5= 10.2
or 10 nickels
so that is ten combos right there along side 51 pennies
so no you do the dimes witch for every 10 pennies you get rid of is = to 1 dime so 51/10=5.1 or 5 dimes so that gives you 5 more combos
so now its 1 penny combo with 10 nickel combos with 5 dime combos
now for quarters for every 25 pennies you get rid of is = to 1 quarter so
51/25=2.04 or just 2 and with half dollars ( they do make thoses ) it is for every 50 pennies you get rid of is = to one half dollar ( which is 50 cents) so 51/50= 1.02 or 1 so it is
1 penny combo + 10 nickels combos + 5 dime combos + 2 quarter combos + 1 half dollar combo =
1+10+5+2+1=19 different sums of money
3.16x10^3
3.16x(10x10x10)
3160
The equation that justifies why seven to the one third power equals the cube root of seven is seven to the one third power all raised to the third power equals seven to the one third times three power equals seven
<h3>How to solve an equation?</h3>
using indices law,
![\sqrt[n]{x} = x^{1 / n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%20%3D%20x%5E%7B1%20%2F%20n%7D)
Therefore, let's justify
![7^{1/3} = \sqrt[3]{7}](https://tex.z-dn.net/?f=7%5E%7B1%2F3%7D%20%20%3D%20%5Csqrt%5B3%5D%7B7%7D)
Hence, the justification is as follows;

Therefore, the justification of is that seven to the one third power all raised to the third power equals seven to the one third times three power equals seven
learn more on equation here: brainly.com/question/13426221
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