gerdesace78
Answered

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(-5, 4), (8,-6) help me please.. I don't know anything about geometry ​

5 4 86 Help Me Please I Dont Know Anything About Geometry class=

Sagot :

Leora03

Answer:

Distance= 16.4 units

Midpoint= (1½, -1)

Step-by-step explanation:

[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]

Distance between (-5, 4) and (8, -6)

[tex] = \sqrt{ {( - 5 - 8)}^{2} + {[4 - ( - 6)]}^{2} } [/tex]

[tex] = \sqrt{ {( - 13)}^{2} + (4 + 6) {}^{2} } [/tex]

[tex] = \sqrt{169 + 10^{2} } [/tex]

[tex] = \sqrt{169 + 100} [/tex]

[tex] = \sqrt{269} [/tex]

= 16.4 units (3 s.f.)

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]

Midpoint

[tex] = ( \frac{8 - 5}{2} , \frac{ - 6 + 4}{2} )[/tex]

[tex] = ( \frac{3}{2} , \frac{ - 2}{2} )[/tex]

[tex] = ( 1\frac{1}{2} , - 1)[/tex]

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