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Anna71 [15]
2 years ago
11

If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?

Mathematics
2 answers:
pickupchik [31]2 years ago
5 0
The midpoint, if the endpoints are (x₁,y₁) and (x₂,y₂):
(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

(9,8) \\
x_1=9 \\ y_1=8 \\ \\
(-1,-2) \\
x_2=-1 \\ y_2=-2 \\ \\
\frac{x_1+x_2}{2}=\frac{9-1}{2}=\frac{8}{2}=4 \\
\frac{y_1+y_2}{2}=\frac{8-2}{2}=\frac{6}{2}=3

The midpoint of AB is (4,3).
Dafna1 [17]2 years ago
3 0

Answer: 1 4

Step-by-step explanation:

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derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d]   →   Equation (1)

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Add Equations (1) and (2)
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2S=n(a1+an)
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Substitute an = a1 + (n - 1)d to the above equation, we have
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