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Reptile [31]
3 years ago
8

The equation of a line XY is (y-3)=3/2(x-4) what is the slope of the line perpendicular to XY?

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
3 0

Answer:

It must be 3/2.........

JulsSmile [24]3 years ago
3 0

Answer: -2/3

Step-by-step explanation:

I wrote the equation y-3=3/2(x-4) in slope-intercept form. It's y=3/2x-5, so the slope is 3/2.

To find the perpendicular slope, I found the opposite reciprocal. The reciprocal of 3/2 is 2/3 and the opposite of 2/3 is -2/3

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Polygon Q(16, 4), R(8, 16), S(4, 4) was mapped to polygon T(–2, 5), U(–4, 8), V(–5, 5). First by the dilation: (x, y) → (0.25x,
mash [69]

Answer:

D M: (x, y) → (x – 6, y + 4)

Step-by-step explanation:

Polygon Q(16, 4), R(8, 16), S(4, 4) was mapped to polygon T(–2, 5), U(–4, 8), V(–5, 5). First by the dilation: (x, y) → (0.25x, 0.25y).

This means that:

Q(16,4)\to (0.25\times 16,0.25\times4)=(4,1)

R(8,16)\to (0.25\times 8,0.25\times16)=(2,4)

S(4,4)\to (0.25\times 4,0.25\times4)=(1,1)

Now we want to find the translation rule that takes

(4,1) to (-2,5)

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(1,1) to (-5,5)

In each case, 6 is subtracted from the first coordinates and 4 added to the second coordinates.

Therefore, the translation rule is:

(x-6,y+4)

Option D is correct.

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a survey asked 35 randomly chosen employees whether they bring lunch or buy it in the cafeteria. Of the 35 surveyed, 20 bring lu
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