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trapecia [35]
3 years ago
7

5 points Two lines are represented by equations: 10x - 15y = 21 and y = kx + 5. What value of k will make lines perpendicular?​

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

Step-by-step explanation:

10x - 15y = 21

15y = 10x - 21

y = ⅔x - 7/5

slope of line is ⅔

slope of any perpendicular to line is -3/2

y = kx + k

slope of line is k

k = -3/2

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Step-by-step explanation:

The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:

From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.

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