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Digiron [165]
3 years ago
12

Explanation would be appreciated, last word is indicated.​

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

AC = 28

Step-by-step explanation:

Ok, we know that:

Points A, B, and C are collinear.

Point B is between A and C.

We want to find the length AC (distance between A and C), if we know that:

AB = 16

BC = 12

Ok, knowing that B is between the other points, we know that:

AB + BC

defines the total length of the segment that connects the 3 points.

Thus, if we define this segment as a length, we only use the endpoints, A and C.

Then we have that:

AB + BC = AC

now we can solve this:

16 + 12 = AC

28 = AC

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12(3-2x)=84 solve for x.
OlgaM077 [116]
12(3-2x) = 84

do distributive multiplication:

12(3) + 12(-2x) = 84
36 - 24x = 84

Deduct 36 to both sides

36 - 36 - 24x = 84 - 36
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divide -24 to both sides

-24x / -24 = 48/-24
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To check:
12(3-2x) = 84
12(3-2(-2) = 84
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Compute the resultant vector:

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That is, the pole is located approximately 12.9 km east and 0.76 km north of the origin.

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