Two lines are parallel if they have the same slope. Computing for the slope of line segment ab and line segment cd using m=(y2-y1)/x2-x1):
m of ab=(2-1)/(2-1)=1 m of cd=<span>(4-3)/(4-3)=1
Since line segment ab and line segment cd have the same slope which is 1, then they are said to be parallel. </span>
Answer:
On the average, estimates will be either be 0.2 meters too short or too long.
Step-by-step explanation:
Standard deviation is normally used to show how the actual value of a variable in a given sample deviates from the mean or average value of the sample. The deviation could be slightly more or less than the average value by the value of the standard deviation. Therefore, in this question, the standard deviation shows that the estimates could be 0.2 m short or more than the mean.
Answer:
200 m s^-2.
133.33 ms^-2.
100 m s^-2.
Step-by-step explanation:
Use Newton's Second Law of motion:
Force = mass * acceleration
The force is in Newtons so the mass must be in kilograms#
100 g = 0.1 kg. So:
20 = 0.1 * a
a = 20/ 0.1 = 200 m s^-2.
We calculate the acceleration for the 150g and 200g potato in the same way.
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Answer:
- {-3.2, -1.4, 0.4 2.2, 4.0, 5.8}
- common difference: 1.8
Step-by-step explanation:
The difference between the two numbers is ...
5.8 -(-3.2) = 9
The four "means" divide this interval into 5 parts, so each part has a length of ...
9/5 = 1.8 . . . . the common difference
The values of the "means" can be found by adding 1.8 successively:
-3.2 +1.8 = -1.4
-1.4 +1.8 = 0.4
0.4 +1.8 = 2.2
2.2 +1.8 = 4.0
Including the given numbers, the arithmetic sequence is ...
-3.2, -1.4, 0.4, 2.2, 4.0, 5.8 . . . . . common difference of 1.8
