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Natasha_Volkova [10]
3 years ago
14

The solution set for all real numbers x such that 2x + 3 < 19 and 2x − 3 ≤ -7 is (blank, blank]

Mathematics
1 answer:
fgiga [73]3 years ago
3 0
Hello : 
<span>2x + 3 < 19 and 2x − 3 ≤ -7 :
the system :
</span><span>2x + 3 < 19 .....(1)
2x − 3 ≤ -7......(2)
by (1) : 2x </span>< 16
             x < 8
by(2) : 2x  ≤ -4
           x ≤ -2
conclusion :   x < 8 and  x ≤ -2
The solution set  is : x ≤ -2
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The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)
Nina [5.8K]

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

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Ladder makes a right angle triangle with wall and ground.

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Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

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5 0
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