The answer would be 9v ^4 + 27v ^3 - 36v^2
Step-by-step explanation:
You first would multiply each term in the parenthesis by 9v^2
9v^2 (v^2) + 9v^2 (3v) - 9v^2 (4)
After this you combine the like terms
9v^2 * v^2 is 9v^4
9v^2 * 3v is 27v^3
-9v^2 * 4 is -36v^2
Because you can not simplify it any smaller, this is your final answer
Both mean and median are measures of the center of a set of data.
Mean is normally preffered to the median except if there is an outlier that has a tendency to affect the mean.
An outlier is a data point that significantly differs from the other data points in a sample.
In the data set above, there is no outlier that will affect the mean.
Therefore, he should use the mean because there are no outliers that affect the mean.
Answer:
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- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
Answer:
17.9 units is the answer
Step-by-step explanation:
points are (-7,-2) and (9,6)
Pythagorean theorem can be written as,
Rounding off,
d = 17.9 units
Answer:
Expression is:16n+2.50
For buying 4 tickets: 66.50
Step-by-step explanation:
You first have to set up the equation and each ticket cost 16 and you have to buy sixteen that is why it is 16n and then you have to pay 2.50 because you are buying online. Then you put four in for N because you are getting 4 tickets. Finally multiply 16 and 4 then add 2.50.
