Answer:
positive
Step-by-step explanation:
a negative times a negative is always a positive
The ratio of change in angular position to change in time is defined as the angular velocity. Thus, the slope of an angular position versus time graph gives the angular velocity of the <span>object being graphed.
The rank of the given graphs can be written as follow,positive graphs are listed first.
The line B is the line with the greater positive slope.
</span><span>The line B is the line with positive slope but is less than the slope of line B.
</span><span>The lines A,t ,and F are the lines with the zero slope.
</span>The lines D and E are parallel to each other and have same negative slope.<span />
Answer:
The first option is correct, 12/30 and 25/30
Step-by-step explanation:
To get common denominators, you need to find the GFC (greatest common factor) of 5 and 6, which is 30. Then you would need to make the fractions equal the same as the original fractions, by multiplying.
2/5 = ?/30 <- you can see that 30 is 6 times more than 5. so this means you multiply 2 by 6 to get 12. 12/30
5/6 = ?/30 <- you can see that 30 is 5 times more than 6. so this means you multiply 5 by 5 to get 25. 25/30
Number 7 you divide 6.48 by 4
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4
We can establish the following equality statement to solve for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
Combine like terms:
5x - 7 = 53
Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60
Divide both sides by 5 to solve for x:
5x/5 = 60/5
x = 12
Substitute the value of x into the equality statement to verify if it is the correct value for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).
Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25
HI = 2x + 4
HI = 2(12) + 4
HI = 28
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