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rosijanka [135]
2 years ago
10

Solve the inequality (2x-4) + 110 ≤ 120

Mathematics
1 answer:
miskamm [114]2 years ago
8 0

Answer:

x ≤  7

Step-by-step explanation:

(2x-4) + 110 ≤ 120

Combine like terms

2x +106 ≤ 120

Subtract 106 from each side

2x+106 -106 ≤ 120-106

2x ≤  14

Divide each side by 2

2x/2 ≤  14/2

x ≤  7

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motikmotik
The midpoint of the line having the endpoints (x_1,y_1) and (x_2,y_2) is (\frac{x_{1}+_x_{2}}{2}, \frac{y_{1}+_y_{2}}{2})
basically average them


so given that the line has the endpoints of (-3,7) and (9,-2)
x₁=-3
y₁=7
x₂=9
y₂=-2

so the midpoint can be found by doing
(\frac{-3+9}{2}, \frac{7+(-2)}{2})=
(\frac{6}{2}, \frac{7-2}{2})=
(3, \frac{5}{2})

the midpoint is (3,\frac{5}{2})
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