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Nadya [2.5K]
3 years ago
15

Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

1/3

Step-by-step explanation:

perpendicular lines have slopes that are opposite reciprocals

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A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​
Nataliya [291]

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

5 0
3 years ago
The chance of winning a big lottery prize is about 10^-8, and the chance of being struck by lightning in the u.s in any given ye
NISA [10]
10^-8 would be .000000001 I believe lightning would be the correct answer because .00000001 is bigger than 10^-8 hope this is correct 

5 0
3 years ago
Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
3 years ago
Myrtle took out a 3-year loan for 2050$ at a computer retailer to be paid back with monthly payments at 12% apr compounded month
lubasha [3.4K]

Answer:

466.27$ APEX

Step-by-step explanation:

5 0
4 years ago
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Ok this should be easy:]
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Answer:

this is 8 raise to power 18

7 0
3 years ago
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