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Here in the second term I am considering 2 as power of x .
So rewriting both the terms here:
First term: 12x²y³z
Second term: -45zy³x²
Let us now find out whether they are like terms or not.
"Like terms" are terms whose variables (and their exponents such as the 2 in x²) are the same.
In the given two terms let us find exponents of each variable and compare them for both terms.
z : first and second term both have exponent 1
x: first and second term both have exponent 2
y: first and second term both have exponent 3
Since we have all the exponents equal for both first and second terms variables, so we can say that the two terms are like terms.
It will take the roller coaster 171.652 seconds to pass over the hill and reach ground level
<h3>How to determine the time to hit the ground?</h3>
The function is given as:
h = –.025t^2 + 4t + 50
Set h = 0.
So, we have:
–.025t^2 + 4t + 50 = 0
Using a graphing calculator, we have:
t = -11.652 and t = 171.652
Time cannot be negative.
So, we have:
t = 171.652
Hence, it will take the roller coaster 171.652 seconds to pass over the hill and reach ground level
Read more about quadratic functions at:
brainly.com/question/27958964
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