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Masteriza [31]
2 years ago
13

The pair of points lies on the same line with the given slope. Find x.

Mathematics
1 answer:
barxatty [35]2 years ago
7 0
Can u answer my question in my profile
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106 ft 2

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Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80
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Can someone walk me through these? I need a better understanding. Or maybe just one of them so I can understand and do the rest
Olin [163]

Step-by-step explanation:

I'll do the first one as an example.

"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"

Let's call the point we're trying to find P.  Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.

KP / PL = 3 / 2

Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.

KxPx / PxLx = 3 / 2

KyPy / PyLy = 3 / 2

First, let's use the x coordinates:

(x − (-5)) / (5 − x) = 3 / 2

(x + 5) / (5 − x) = 3 / 2

2 (x + 5) = 3 (5 − x)

2x + 10 = 15 − 3x

5x = 5

x = 1

And now with the y coordinates:

(y − (-4)) / (1 − y) = 3 / 2

(y + 4) / (1 − y) = 3 / 2

2 (y + 4) = 3 (1 − y)

2y + 8 = 3 − 3y

5y = -5

y = -1

So the point P is at (1,-1).

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3 years ago
Ok so how do I make a forehead thermometer say I'm sick
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Look down or and try ways to get your face to feel warm, hot, blush.

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