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ryzh [129]
3 years ago
13

Estimate 20+ (-3.05)+(-9.8)

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0
Around 7.
Hope it helps!
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The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).
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(i)
A(3,2),B(1,6)
\\
\\m_{AB}= \frac{6-2}{1-3}=-2
\\
\\m_{BC}m_{AB}=-1
\\ 
\\m_{BC}= \frac{-1}{m_{AB}} = \frac{-1}{-2}= \frac{1}{2}  
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\\B(1,6)\Rightarrow x_1=1,y_1=6
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\\BC:y-y_1=m_{BC}(x-x_1)
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\\y-6= \frac{1}{2}(x-1)
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\\2y-12=x-1
\\x-2y+11=0

(ii)
AC:y=x-1
\\BC:x-2y+11=0
\\
\\C=AC\cap BC
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\\x-2(x-1)+11=0
\\x-2x+2+11=0
\\x=13
\\y=x-1=13-1=12
\\C(13,12)

(iii)
A(3,2)B(1,6),C(13,12)
\\P=2(d(A,B)+d(B,C))
\\
\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20}  =2 \sqrt{5} 
\\
\\d(B,C)= \sqrt{(13-1)^2+(12-6)^2}= \sqrt{180}= 6\sqrt{5}  
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\\P=2(2 \sqrt{5}+6 \sqrt{5})=2\times8 \sqrt{5} =16 \sqrt{5}
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Answer:

On average, they travel 145 miles in a day

Step-by-step explanation:

2,320 ÷ 16 = 145

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