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Week 2

Week 2. Fun With Quadratics and Triangles. Let’s begin with the first triangle. After Angie and Jordan walked the 3.5 miles to get the waterfall, they realize it would take too long to walk back the same miles to get to the car.

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Week 2

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  1. Week 2 Fun With Quadratics and Triangles

  2. Let’s begin with the first triangle. • After Angie and Jordan walked the 3.5 miles to get the waterfall, they realize it would take too long to walk back the same miles to get to the car. • Looking for a shortcut back to the car, Angie found a route that was 2.6 miles long. This shortcut lead straight back to the beginning of the trail and the car. • By taking this route, Angie and Jordan shaved less than 2 minutes off than taking the 8 minute trail back to the car.

  3. Onward to the second triangle. • After looking at the problem, I found out that the short leg is 10, the long leg is 40, and the hypotenuse is 50. How? If I plug in 10 to the formula I came up, which is 20+2a=b, the numbers fit oveall.

  4. Let’s move on to the last problem. • From first glance, I saw that I have to FOIL. After foiling, I get two quadratic equation; x^2+6x+5 and x^2+12x+27. I tried the quadratic formula, but that route only gave me the zeros for both. So, I subtracted the equations from each other. I got 6x+22. Making my new found equation equal 0, I came up with the solution of 3. Plugging 3 into the new equation, i found that the answer is 40. So the area of the blue shaded region is 40.

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