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aniked [119]
2 years ago
12

6. a) The mid point of a line segment is (1,-1) whose one end is (-1, -3). Find the other end. ​

Mathematics
1 answer:
Anna [14]2 years ago
5 0

Answer:

Step-by-step explanation:

mid point = [(a1 + a2)/2 , (b1 + b2)]

(a1,b1) = first point

(a2,b2) = end point

Using all x coordinates

(a1 + a2)/2 = 1

(-1 + a2)/2 = 1

-1 + a2 = 2

a2 = 3

Using all y coordinates

(b1 + b2)/2 = -1

(-3 + b2)/2 = -1

-3 + b2 = -2

b2 = -1

thus end coordinate = (3, -1)

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<h3>b)</h3>

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<h3>d)</h3>

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The second attachment shows a graph of the four inequalities with their shading.

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<em>Additional comment</em>

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

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