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BabaBlast [244]
3 years ago
7

Solve |4 - 2x| = |3x+ 2|.

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
5 0

Answer:

Step-by-step explanation:4 -2x=3x +2

4-2=3x+2x

2=5x

X=2/5

Nostrana [21]3 years ago
5 0

Answer:

x=2/5, x=-6

Step-by-step explanation:

|4 - 2x| = |3x+ 2| =

4-2x=3x+2

-2x-3x=2-4

-5x=-2

x=-2/-5=2/5 possibility  1

−2x+4=−(3x+2)      possibility 2

−2x+4=−3x−2(Simplify both sides of the equation)

−2x+4+3x=−3x−2+3x

x+4=−2

x+4−4=−2−4(Subtract 4 from both sides)

x=−6

Check answers:

2/5(Works in original equation)

x=−6(Works in original equation)

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Can someone help me please!!
ratelena [41]

The coordinates of E are (5.75, 0).

<h3>What is midpoint?</h3>

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Given that, C is the midpoint of AB, D is the midpoint of CB and E is the midpoint of DB.

Formula for coordinates of midpoint,

(x, y) = [(x1+x2)/2, (y1+y2)/2]

Coordinates of C;

(x, y) = (-10+8)/2, (14-2)/2

(x, y) = (-1, 6)

Coordinates of D;

(x, y) = (-1+8)/2, (6-2)/2

(x, y) = (3.5, 2)

Coordinates of E;

(x, y) = (3.5+8)/2, (2-2)/2

(x, y) =  (5.75, 0)

Hence, The coordinates of E are (5.75, 0).

For more references on midpoints, click;

brainly.com/question/28224145

#SPJ1

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