Answer:
9 units
Step-by-step explanation:
Given



Required
Determine the length of the longest segment
To do this, we use:

So, we have:



Take positive square root

<em>Hence, the length of the longest segment is 9 units</em>
Answer:
the vertex is ( 3 , 3)
Symetric axis‘s equation: x = 3
Step-by-step explanation:
Let‘s name the function ” f ”
f(x) = y = 2x² - 12x + 21
the vertex has coordinates of ( -b/2a , f(-b/2a) )
-b/2a = 12/2(2) = 12/4 = 3
f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3
then the vertex is ( 3 , 3)
the symetric axis has the equation :
x = -b/2a
then
Answer:
Data set B would have flatter distribution with more data in each tail.
Step-by-step explanation:
We are given the following in the question:
Data set A has a smaller standard deviation than data set B.

Standard Deviation:
- It is a measure of dispersion of data.
- It tells us about how much the data deviates around the mean.
- It tells us about the overall deviation of the data from the mean.
- The standard deviation is small when the data are all close to the mean showing less variation.
- The standard deviation is larger when the data values are farther away from the mean, showing more variation.
Since data A has less standard deviation than data B, then data B has a flatter graphical representation as more of the data are present on the tails.
Answer: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.
Hope it helps
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