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3 years ago

The midpoint of . is the point M, where AM = 5x + 4 and MB = 3+16 . Find the length of . AB

Mathematics

1 answer:

kirill115 [55]3 years ago

5 0

Answer:

Step-by-step explanation:

|<----------------- AB ------------------->|

A--------------------M--------------------B

5x + 4 3+16

since M is at midpoint, AM = MB

5x + 4 = 3 + 16

5x = 3 + 16 - 4

x = 15 / 5

x = 3

AB = AM + MB

AB = 5(3) + 4 + 3 + 16

AB = 15 + 23

AB = 38

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Answer:

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The number line graph of the solution is also attached below.

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Step-by-step explanation:

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$-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}$

The number line graph of the solution is also attached below.

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.

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