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Darina [25.2K]
3 years ago
12

Given p(x) = x+7/3 if p(x) = 13, find x.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer:

x = \frac{32}{3}

Step-by-step explanation:

We know that p(x) = 13. Thus, substitute 13 for the "p(x)" in the equation. Then, isolate x by subtracting both sides by \frac{7}{3}:

p(x) = x + \frac{7}{3}\\13 = x + \frac{7}{3} \\13 - \frac{7}{3} = x \\\frac{39}{3}- \frac{7}{3} = x \\\frac{32}{3} = x

Thus, x = \frac{32}{3}.

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the answer of this question is 0

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Which point is on the line that passes through point R and is perpendicular to line PQ? (–6, 10) (–4, –8) (0, –1) (2, 4)
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Answer:

(-4, -8)

Step-by-step explanation:

Let the coordinates of common point of the given lines are (x, y),

Thus, the slope of the line passes through the points (a, b) and R(4,2) is,

       2 - b

m1 = ------

        4 - a

Again, the slope of the line passes through two points P(-6,4) and Q(4,-4),

      -4 - 4          -8           -8          -4

m2 = ------  =   --------- = --------- = ---------

        4- (-6)       4 + 6         10        5

= m1 * m2 = -1

 

  2 - b      -4

= -------   x ---- =  -1

   4 - a      5

        8 - 4b

=     -----------   = 1

        20 - 5a

= 8 - 4b  = 20 - 5a

= 5a - 4b = 12 --------- equation 1

<u>For a = -6   and b = -10</u>

5 x -6  - 4  x  10 = -70 ≠ 12

<u>For a = -4   and b = -8</u>

5 x -4  - 4  x  - 8  = 12 = 12

<u>For a = 0  and b = -1</u>

5 x 0 - 4 x -1 = 4 ≠ 12

<u>For a = 2 and b = 4</u>

5 x 2 - 4 x 4 = -6 ≠ 12

therefore Second is correct

hope it helps and i get the brainliest.

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4 years ago
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The question given is:

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