When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image?
1 answer:
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You can dispose a number of elements in a matrix-like formation with
shape if and only if
and
both divide
, and also
.
So, we need to find the greatest common divisor between and
, so that we can use that divisor as the number of columns, and then.
To do so, we need to find the prime factorization of the two numbers:
So, the two numbers share only one prime in their factorization, namely , but we can't take "too many" of them:
has "three two's" inside, while
has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include
nor
, because it's not a shared prime.
So, the greater number of columns is , which yield the following formations:
Answer:
The equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. is;
Explanation:
Let n and d represent the number of nickels and dimes in her pocket;
We know that;
1 nickel is 5 cents = 0.05 dollar
1 dime is 10 cents = 0.10 dollar
Also;
n nickels = n times 0.05 dollars
d dimes = d times 0.10 dollar
The total is given as;
the total amount is $1.25.
So, we have the equation as;
Therefore, the equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. is;