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Dmitry_Shevchenko [17]
2 years ago
7

Solve the inequality x+2 1/2 >-1/2.graph the solution set on a number line. Show your work.

Mathematics
1 answer:
Dmitrij [34]2 years ago
4 0

Answer:

x>-3

Step-by-step explanation:

1: write out the problem - x+2 1/2>-1/2

2: subtract 2 1/2 from both sides - x>-3

3: write your answer - x>-3

4: graph on a number line - to do this draw a number line with hashes, -5 to 5 or so would probably be fine, and draw on open circle on -3, then bold the number line on the right side of the circle.

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Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t
gayaneshka [121]

ANSWER

( -  \frac{23}{5} , - 4)

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

x = \frac{ mx_2+nx_1}{m + n}

y= \frac{ my_2+ny_1}{m + n}

Where m=3 and n=2

x = \frac{ 3 ( - 9)+2(2)}{3+ 2}

x = \frac{  - 23}{5}

y= \frac{ 3( - 6)+2( - 1)}{3 + 2}

y= \frac{  - 20}{5}  =  - 4

The point is

( -  \frac{23}{5} , - 4)

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Step-by-step explanation:

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