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Fudgin [204]
3 years ago
5

Which is the midpoint with line segment with endpoints (1, 2) and (7, 8)?

Mathematics
2 answers:
kogti [31]3 years ago
8 0

Answer:

(4,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(1+7)/2 = 8/2 = 4

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(2+8)/2 = 10/2 = 5

Pavel [41]3 years ago
8 0
(4,5) is your answer!
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\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

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2 years ago
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Volgvan

Answer:

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Step-by-step explanation:

5x + 3 = 4x,

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3 years ago
Read 2 more answers
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