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Black_prince [1.1K]
3 years ago
7

Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11).

Mathematics
2 answers:
ch4aika [34]3 years ago
6 0
(-15,9) \\
x_1=-15 \\
y_1=9 \\ \\
(-4,11) \\
x_2=-4 \\
y_2=11 \\ \\
\hbox{the length:} \\
l=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-4+15)^2+(11-9)^2}=\\
=\sqrt{11^2+2^2}=\sqrt{121+4}=\sqrt{125}=\sqrt{25 \times 5}=5\sqrt{5} \\ \\
\hbox{the midpoint:} (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\
\frac{x_1+x_2}{2}=\frac{-15-4}{2}=\frac{-19}{2}=-9.5 \\
\frac{y_1+y_2}{2}=\frac{9+11}{2}=\frac{20}{2}=10 \\
(-9.5,10)

The length of the segment is 5√5, the midpoint of the segment is (-9.5,10).
Ber [7]3 years ago
5 0

Answer:B is finna be yo answer


Step-by-step explanation: took e2020 test


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