Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in:
<em>The height is 36 meters</em>
Hey there!
We could try to factor this trinomial by splitting up the middle term. We do this by multiplying the coefficient of the first term, 1x², by the constant, –10. This will get us –10. Next, you would have to find two factors of –10 that add up to the coefficient of the middle term, which is –7.
Factors of –10:
–10 + 1 = –9
–5 + 2 = –3
–2 + 5 = 3
–1 + 10 = 9
As you can see, no factors of –10 add up to –7. Therefore, this trinomial is prime. In other words, you could only get this trinomial by multiplying it by 1 to get itself.
Hope this helped you out! :-)
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