3 years ago

Find the midpoint of the line segments (-9,-8), (3,4)

Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

Did you figure it out yet? I need help

zepelin [54]3 years ago

3 0

Answer: (-3,-2)

Explanation:
Plugged the numbers into the formula and worked it out

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Segment CD has endpoints (-4, 3) and (8, -1). Find the coordinates of the point that divides the line segment directed from C to

Diano4ka-milaya [45]

Answer:

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

Step-by-step explanation:

If point $A(x,y)$ divides the segment with endpoints $C(x_1,y_1)$ and $D(x_2,y_2)$ in the ratio $m:n,$

then

$x=\dfrac{nx_1+mx_2}{m+n}\\ \\y=\dfrac{ny_1+my_2}{m+n}$

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$C(-4,3)\\ \\D(8,-1)\\ \\m:n=2:3$

then

$x=\dfrac{3\cdot (-4)+2\cdot 8}{2+3}=\dfrac{-12+16}{5}=\dfrac{4}{5}=0.8\\ \\y=\dfrac{3\cdot 3+2\cdot (-1)}{2+3}=\dfrac{9-2}{5}=\dfrac{7}{5}=1.4$

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