Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
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Answer:
3) x = 9
4) x = 3
Step-by-step explanation:
3) The two short segments are indicated as having a sum equal to the long segment.
(x +2) +(-5 +x) = 15
2x = 18 . . . . . . . . . . . . add 3
x = 9 . . . . . . . . . divide by 2
(This makes the segments be 9+2 = 11 and -5+9 = 4, which total 15.)
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4) Same deal.
3x +3 = 4x
3 = x . . . . . . . . subtract 3x
(This makes the segments be 3(3) = 9 and 4(3) = 12, where 9+3=12.)
Answer:
Step-by-step explanation:
r=4/(-2)=-2
Answer:
C. 40π cm²
Explanation:
• The central angle of the sector = 225 degrees
,
• The radius of the sector = 8cm
For a sector of radius r and central angle θ, we calculate the area using the formula below:
Substituting the given values, we have:
The area of the sector is 40π cm².
Answer:
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Step-by-step explanation:
