Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.

1 answer:

7 0

If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus,

-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4

Then the following must be true:

4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27

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Find the range of ƒ(x) = –x + 4 for the domain {–3, –2, –1, 1}.

qaws [65]

Answer:

range {3, 5, 6, 7 }

Step-by-step explanation:

to find the range substitute each value of x from the domain into f(x)

f(- 3) = -(- 3) + 4 = 3 + 4 = 7

f(- 2) = - (- 2 + 4 = 2 + 4 = 6

f(- 1) = - (- 1) + 4 = 1 + 4 = 5

f(1) = - 1 + 4 = 3

range y ∈ { 3, 5, 6, 7 }