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Marysya12 [62]
3 years ago
9

If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 4 and passes through point (1, 2).

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
A.
Using the point-slope form:
y - 2 = 4(x - 1)
y = 4x - 2

B.
We plug the point into the equation to see if it is satisfied:
24 = 4(7) - 2
24 = 26; This is not true so the point is not on the ship's path

C.
The slope of this ship's motion is -1/4, which is the negative reciprocal of the first ship's slope. Therefore, the ships are moving in perpendicular to one another.
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P(A) = 7/12

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====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

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In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

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-----------------------------------

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