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8 0

3 years ago

1. Find the midpoint of the line segment joining the two points (4,-3) and (12, 3).

Mamont248 [21]

The mid-point is (8,0)

Further explanation:

A mid-point is the point on the line which divides the line in two equal segments

The formula for mid-point is:

$(x_m, y_m) = (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})$

Where (x1,y1) are the coordinates of first point and (x2,y2) are the coordinates of second point.

Here,

(x1, y1) = (4,-3)

(x2,y2) = (12,3)

So,

$(x_m, y_m) = (\frac{4+12}{2} ,\frac{-3+3}{2})\\(x_m, y_m) = (\frac{16}{2} , \frac{0}{2})\\ (x_m, y_m) = (8,0)$

The mid-point is (8,0)

Keywords: Mid-point, coordinate geometry

Learn more about mid-points at:

#LearnwithBrainly

5 0

3 years ago

12. }(4x - 2) - }(6x + 9) <4<br> Solve inequality

NemiM [27]

Answer:

x > - 33/14

Step-by-step explanation:

(4x-2) -3(6x + 9) < 4

rewrite/ remove parentheses

4x -2 - 18x - 27 < 4

collect like terms / calculate

-14x - 29 < 4

Move the constant to the right

-14x < 4 + 29

Calculate

-14x < 33

Divide both sides

Solution: x > - 33/14

6 0

3 years ago

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