9514 1404 393
Answer:
h ≤ 6 2/3
Step-by-step explanation:
The inequality is presumed to be ...
15h +40 ≤ 140
15h ≤ 100
h ≤ 6 2/3
__
The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.
Answer:
Step-by-step explanation:
We are given that the equation of lines
According to question
The vector perpendicular to the lines is given by
and 
Therefore, the angle between two vectors is given by
Using the formula
Hence, the acute angle between the lines is given by
6: The integer must end in either a 0, 2, 4, 6, or 8, and the sum of its digits is divisible by 3. (Example. 24. Ends in a 4, and sum of digits (2+4 = 6) is divisible by 3)
7: To determine if the number 672 is divisible by 7, start by multiplying the last digit by 2, which in this case results in 4. Subtracting this from the rest of the number, 67 minus 4, yields 63. Since 63 can be divided by 7 evenly to result in 9, it is simple to conclude that 672 is divisible by 7.
8:
A number is divisible by 8 if the number formed by its last three digits is divisible by 8. 3240 is divisible by 8, because 240 is divisible by 8. 3145 is not divisible by 8, because 145 is not divisible by 8.
9: This is similar to the rule for 3. A number is divisible by 9 if the sum of its digits is divisible by 9. 7065 is divisible by 9, because 7 + 0 + 6 + 5 = 18 which is divisible by 9. 3045 is therefore not divisible by 9, because 12 is not divisible by 9.
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