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andreyandreev [35.5K]
3 years ago
12

Find the distance and midpoint between (- 8, 1) and (4, 6)

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

Distance: 13, Midpoint: (-2, 3.5)

Step-by-step explanation:

The distance formula is \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }. We can plug in the numbers from your question so it would be √(4+8)^2+(6-1)^2 =  √144+25=169 =√169 = 13

The midpoint formula is ((x1+x2)/2, (y1+y2)/2), which is -8+4/2, 1+6/2 = (-2, 3.5).

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{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

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so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

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__________________________________

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__________________________________

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