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iren [92.7K]
3 years ago
5

6. AB has coordinates A(-5,9) and B(7,-7). Points P, Q, and T are collinear

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

Answer:

C) QT

Step-by-step explanation:

We must first find the coordinates of C(x,y) which divides AB in the ration m:n=3:2.

We use the formula

x=\frac{mx_2+nx_1}{m+n}

and

y=\frac{my_2+ny_1}{m+n}

We plug in the coordinates of A(-5,9) and B(7,-7) and m=3, n=2 to get:

x=\frac{3*7+2*-5}{3+2}

x=\frac{21-10}{5}

x=\frac{11}{5}

and

y=\frac{3*-7+2*9}{3+2}

y=\frac{-21+18}{5}

y=-\frac{3}{5}

C has coordinates  (\frac{11}{5},-\frac{3}{5})

The line segment that contains C is QT

See attachment.

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