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so what you have to do is multiply 3 and 2 and 3 and -14 which ends up being 6x-42x=, then do 15 times -9 and you then do 15 times -5 and that becomes -135x - (-7) then you show it like this= 6x-42x=135x-(-7) the solution would be 36x=-135 divide 36 each side and you get x= 2.28
The building is about 70.95 feet tall.
The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.
112^2 + b^2 = 131^2
b = 67.95
However, don't forget to add on 3 because that is the height of the laser range.
Notes:
- The sign of the coefficient of the quadratic equation determines if the vertex is a minimum or maximum. Positive looks like ∪ so has a minimum. Negative looks like ∩ so has a maximum.
- Maximum/minimum height is the y-value of the vertex.
- Time to reach maximum height is the x-value of the vertex (which is also the Axis-Of-Symmetry).
Answer: 4) maximum
5) 20.1 ft
6) 2 seconds
<u>Step-by-step explanation:</u>
4) h(t) = -16t² + 256t
↓
the coefficient is negative so it looks like ∩.
Therefore, it has a maximum.
5) h(t) = -16t² + 30t + 6

6) h(t)=-16t²+64t+80
