A tank of water holding 528 kl of water begain to empty at a rate of 10 kl/min at the same time a another tank whitch is empty b
1 answer:
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LFT says that for any prime modulus 
and any integer 
, we have
From this we immediately know that
Now we apply the Euclidean algorithm. Outlining one step at a time, we have in the first case
, so
Next,
, so
Next,
, so
Finally,
, so
We do the same thing for the remaining two cases:
Now recall the Chinese remainder theorem, which says if
and 
, with 
relatively prime, then 
, where 
denotes 
.
For this problem, the CRT is saying that, since
and 
, it follows that
And since
, we also have
From this we immediately know that
Now we apply the Euclidean algorithm. Outlining one step at a time, we have in the first case
Next,
Next,
Finally,
We do the same thing for the remaining two cases:
Now recall the Chinese remainder theorem, which says if
For this problem, the CRT is saying that, since
And since
Answer:
The correct answer is:
A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).
Step-by-step explanation:
We are given the system of equations as:
<em>We have 2 equations here with variables x and y so we use coordinate grid with 2 lines having axis as x and y.</em>
<em></em>
As per the given options, <em>we can see that coordinate of one point has y = 0 and other point has x = 0.</em>
So, let us put y = 0 and x =0, in both the equations one by one and have a look at the value of x coordinate.
y = 0, Equation (1) becomes:
So, one coordinate is (-1.5, 0)
x = 0, Equation (1) becomes:
So, other coordinate is (0, -1)
And the point (3, -3) also satisfies the given equation.
y = 0, Equation (2) becomes:
So, one coordinate is (-1.5, 0)
x = 0, Equation (2) becomes:
So, other coordinate is (0, 1)
And the point (3, 3) also satisfies the given equation.
Please refer to the <em>attached graph and points on lines</em>.
So, correct answer is:
A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).
