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1 answer:

3 0

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4(x−3)−5(x+1)=34(x-3)-5(x+1)=34(x−3)−5(x+1)=3
1 Expand
4x−12−5x−5=34x-12-5x-5=34x−12−5x−5=3

2 Simplify 4x−12−5x−54x-12-5x-54x−12−5x−5 to −x−17-x-17−x−17
−x−17=3-x-17=3−x−17=3

3 Add 171717 to both sides
−x=3+17-x=3+17−x=3+17

4 Simplify 3+173+173+17 to 202020
−x=20-x=20−x=20

5 Multiply both sides by −1-1−1
x=−20x=-20x=−20

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Step-by-step explanation:

1.) Get the equation in the form y = ax^2 + bx + c.

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We first approach this problem by illustrating the situation. Refer to the diagram attached.

From the diagram, we can clearly see that we need to simply solve for the length marked x in order to find the distance between the foot of the ladder to the base of the wall.

Remember SOHCAHTOA. We can apply here the concept of cosine since we have the angle. Incorporationg x into the equation, we can simply make use of the relation cosine 72° = adjacent/hypotenuse.

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ANSWER: The distance between the foot of the ladder and the base of the wall is 4.6 feet.