<h3>
Answer: 4 feet</h3>
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Work Shown:
See below for the diagram.
(person height)/(person shadow) = (tree height)/(tree shadow)
x/3 = 6/4.5
x*4.5 = 3*6
4.5x = 18
x = 18/4.5 ...... dividing both sides by 4.5
x = 4
The boy is 4 feet tall.
You may park 20 feet from a crosswalk.
The product is <span>52.5 hope this helped :)
</span>
Answer:
j^2+2j+1
Step-by-step explanation:
(j+1)(j+1)=
=>j^2+j+j+1
=>j^2+2j+1
Hope this helps! ;)
Answer:
8 thousand of pesos
Step-by-step explanation:
You have the following function for the annual utilities:
![P(x)=-2x^2+16x-24](https://tex.z-dn.net/?f=P%28x%29%3D-2x%5E2%2B16x-24)
To find the maxima utilities you first derivative P(x) respect to x:
![\frac{dP(x)}{dx}=-4x+16](https://tex.z-dn.net/?f=%5Cfrac%7BdP%28x%29%7D%7Bdx%7D%3D-4x%2B16)
Next, you equal the derivative to zero and obtain x:
![-4x+16=0\\\\x=4](https://tex.z-dn.net/?f=-4x%2B16%3D0%5C%5C%5C%5Cx%3D4)
For x=4 you obtain the maxima utilities:
![P(4)=-2(4)^2+16(4)-24=8](https://tex.z-dn.net/?f=P%284%29%3D-2%284%29%5E2%2B16%284%29-24%3D8)
hence, the maxima utilities that the enterprise can obtain is 8 thousand of pesos