The smallest possible value of z is the denominator of the reduced fraction x/y. We note the prime factors of the members of set y are
... 2², 7, 2³, 3²
so if there are any even members of set x, the fraction can be reduced to something divided by 2. The number 6 in set x is even, so we have
... 6z/4 = 6·2/4 = 3 (an integer) when z=2
The lowest possible value of z is ...
... B) 2
Answer:
0.25 feet
7.62 centimeters
3 inches
Step-by-step explanation:
Not really a clear question-
Answer:
113.1 ft squared
Step-by-step explanation:
A=πr2=π·62≈113.09734ft²
Answer:
20. 44
21. 9
22. 94
23. 116
24. 17
25. 13
Step-by-step explanation:
Keep in mind complementary and supplementary angles. When two angles are right next to each other on a straight line, they add up to 180 degrees, such as the angles in 22 and 23. The other two angles are complementary angles since they add up to 90 degrees. So to solve for b, subtract the angle you are given from either 90 or 180 depending on if it is complementary or supplementary.
For question 20:
90 = b + 46
90 - 46 = b
b = 44
Then do the same for 21.
For question 22:
180 = b + 86
180 - 86 = b
b = 94
Then do the same for 23.
For the last two questions you need to remember that angles that are diagonal from each other are equivalent angles, so they equal each other.
For question 24:
70 = 4x+2
68 = 4x
x = 17
Do the same for 25.
83 = 6x+5
78 = 6x
x =13
Answer:
The ordered pair that corresponds to point P is: (4, 2)
Step-by-step explanation:
It is clear from the graph that the point P is located at the location (4, 2).
In other words,
at x = 4, y = 2
It means:
The x-coordinate of the point P is: x = 4
The y-coordinate of the point P is: y = 2
Thus, the location of the point P → P(x, y) = P(4, 2)
Please check the attached graph.
Therefore, we conclude that:
The ordered pair that corresponds to point P is: (4, 2)