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rnunez3
10.02.2020 •
Mathematics
Manuela claims that Segment A B and Segment P Q are congruent.
On a coordinate plane, segment P Q goes from (negative 3, negative 1) to (negative 3, 3) and segment A B goes from (0, 1) to (3, 1).
Which statement best describes her claim?
She is incorrect because the segments do not have the same orientation.
She is incorrect because the segments do not have the same length.
She is correct because the segments have the same length.
She is correct because the segments have the same orientation.
Solved
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Ответ:
B.She is incorrect because the segments do not have the same length.
Step-by-step explanation:
We are given that
Manuela claims that segment AB and segment PQ are congruent.
When two segment are congruent the their lengths are equal.
PQ passing through the point (-3,-1) and (-3,3)
Length of PQ=![\sqrt{(-3+3)^2+(3+1)^2}=4 units](/tpl/images/0505/0674/20a53.png)
By using distance formula
AB passing through the points (0,1) and (3,1).
Length of AB=![\sqrt{(3-0)^2+(1-1)^2}=3units](/tpl/images/0505/0674/ea22f.png)
Length of AB is not equal to length of PQ.
Option B is true.
She is incorrect because the segments do not have the same length.
Ответ:
x^2 = pi
x = sqrt(pi)
b) Fmax = F(1) + integral [1, pi] f(x) dx = 9.7743