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WARRIOR [948]
3 years ago
9

Suppose D has a coordinate of 11 and DE = 5. What are the possible midpoints of DE?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

(5.5,8) and (5.5,3) are the possible midpoints

<em></em>

Step-by-step explanation:

Given

D = 11

DE = 5

Required

Determine the midpoint of DE

First, we need to determine the coordinates of E

If E is at the right of DE, then

D - E = 5

11 - E = 5

E = 11 - 5

E = 6

Hence,

(D,E) = (11,6)

<em>Calculate Midpoint</em>

Midpoint = \frac{1}{2} * (11,6)

Midpoint = (5.5,3)

Else:

E - D = 5

E - 11 = 5

E = 11 + 5

E = 16

Hence,

(D,E) = (11,16)

<em>Calculate Midpoint</em>

Midpoint = \frac{1}{2} * (11,16)

Midpoint =  (5.5,8)

<em>(5.5,8) and (5.5,3) are the possible midpoints</em>

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