Answer:
(5x +4y)^2
Step-by-step explanation:
The first and last terms are both perfect squares, and the middle term is twice the product of their roots. That means the trinomial is the perfect square trinomial ...
25x^2 +40xy +16y^2 = (5x +4y)^2
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It matches the pattern ...
a^2 +2ab +b^2 = (a +b)^2
We can set up a proportion to solve this problem as follows:
height of the model/width of the model= height of the actual/width of the actual
24/18=60/x
Cross multiply,
24x=18*60
24x=1080
x=45 ft.
Therefore the answer is 45 ft.
<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.
Volume=width*length*height
So the volume is
V=8*6*13=624cm^3
I hope this helped :)
