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svp [43]
2 years ago
5

A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,

Mathematics
1 answer:
Irina18 [472]2 years ago
7 0

9514 1404 393

Answer:

  15

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

  p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t

  p = (-3, -4) +t(28, 42)

  p = (-3, -4) +14t(2, 3)

where t takes on any value between 0 and 1.

If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.

There are 15 values that n can have in the allowed range.

The caterpillar touches 15 points with integer coordinates.

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Solve x^2 + 4x + 8 = 0
Mkey [24]

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

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Take the square root of both sides:

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Subtract 2 from both sides:

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Subtract 2 from both sides:

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8 0
3 years ago
A trip to another city is 180 miles. In miles per hour to the nearest tenth, how fast does one have to drive to average 60 mph o
irakobra [83]

Answer:

63.5

Step-by-step explanation:

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Mr.Jamison brought 15 tubs of paint for the art classes he teaches for his Elementary kids. He paid $63.90 for the paint.If each
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Answer:

$4.26

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