MATH-Written Assignment Unit 2

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Northern Virginia Community College *

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1280

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Mathematics

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Jan 9, 2024

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docx

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Written Assignment Unit 2 1. Determining whether a line is Parallel, Perpendicular, or neither 3 y=−4 x+12 3 y/3=−4 x/3+12/3 Equation for Line 1 −6 y=8 x+1 −6 y/-6=8x/-6+1/6 Equation for line 2- Y=-4/3x+1/6 As a result, these lines are parallel, and their slopes are the same. 3 y=−x+12 3 y/3=−x/3+12/3 Equation for Line 1 y=−1/3 x+4 -y=8x+1 Equation for line 2 y=-? 8x-1 These lines aren't parallel or perpendicular in any way. c. −7y=−4x+10 −7 y/-7=−4 /-7x+ 10/-7 Equation for Line 1 y=4/7x-10/7 4y/4=-7x/4+10/4 Y=17/4x+10/4 These lines are perpendicular because: 4/7x-7/4=-1 2. H(t)=−4.9t2+24t+8 H(0)=−4.9(0)2+24(0)+8 H(0)=8 Therefore height of the building is 8m. H=-b/2a=-24/2(-4.9)=24/9.8=2.449 sec. Therefore, it takes 2.449 seconds for the ball to reach maximum height.

k=f (h)=f (2.449) =−4.9(2.449)+24(2.449)+8=37.388 Therefore, the maximum height reached by the ball is 37.388 meters 3. -3= slope B(n)=−3t+b 20=−3(75)+b 20+225=b 245=b Equation = B(n)=-3t+245 h= −245/2(-3)=245/6=40.83 Therefore, she should plant 40.83 trees to maximize her harvest

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