Answer:
It should 3/10
Step-by-step explanation:
<h3>
Answer: 4</h3>
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Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
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Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
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Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
Answer:
32
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;

The are of a square of length l is given as;

Combining these two equations yields;


Next, we have been given;

We are required to find;
when z = 4
By chain rule;

Differentiating
with respect to z yields;

Therefore,
= 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32
After solving the system of equations, x= -3 and y=6
Step-by-step explanation:
We need to solve the following system of equations by substitution.

Finding value of y from equation(1) and substituting it in equation(2)

The value of x is x=-3
Now, Finding value of x from eq(1) and substituting in equation(2)

So, Value of y is y=6
After solving the system of equations, x= -3 and y=6
Keywords: system of equations
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