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Doss [256]
3 years ago
13

Find the coordinates of a point that divides a line segment AB in the ratio 2:6.

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

Step-by-step explanation:

The first thing we should do is to calculate the distance AB

To do that we must khow the coordinates of the vector AB

  • Vector AB(6-(-6)),-7-9)⇒ Vector AB (12, -16)
  • So the distance AB =\sqrt{12^{2}+(-16)^{2}  }= 20
  • now 20 to the ratio of 2:6
  • add 2 and 6 2+6=8
  • divide 20 by 8  20/8=2.5
  • multiplay 2.5 by 2 and 6  2.5*2=5 and 2.5*6= 15
  • so the point (3, -3) can satisfy this ration
  • if we calculate the remaining distance we find 5 and 15

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Evaluate the following expressions for x = -4
Vilka [71]

Answer:

-1/16

-1/4

1

-4

16

Step-by-step explanation:

Put x as -4 and solve.

-4^-2 = 1/-4^2 = -1/16

-4^-1 = 1/-4 = -1/4

-4^0 = 1

-4^1 = -4

-4^2 = 16

6 0
3 years ago
What sampling method is used in the following examples. Is the method biased or not?
Romashka-Z-Leto [24]

Answers:

  • a) Stratified random sampling, or simply stratified sampling. Each group individually is known as a stratum. The plural is strata. The key here is that each stratum is sampled, though we don't pick everyone from every stratum. We randomly select from each unit to have them represent their unit. Think of it like house of representative members that go to congress. We have members from every state, but  Be sure not to mix this up with cluster sampling. Cluster sampling is where we break the population into groups or clusters, then we randomly select a few clusters in which every individual from those clusters is part of the sample.
  • b) Simple random sampling (SRS). This is exactly what it sounds like. We're randomly generating numbers to help determine who gets selected. Think of it like a lottery. A computer is useful to make sure this process is quick, efficient and unbiased as possible. Though numbers in a box or a hat work just as well.

For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

7 0
3 years ago
What is the height of the parallelogram?
sleet_krkn [62]

Answer:

6 cm

Step-by-step explanation:

The area of a parallelogram is found by

A = b*h

24 = 4*h

Divide each side by 4

24/4 = 4h/4

6 =h

4 0
3 years ago
Read 2 more answers
If f(x) = 5x, what is f -1 (x) ?
Gala2k [10]

Answer:

f^{-1}(x) = \frac{x}{5}

Step-by-step explanation:

f^{-1}\left( x\right)  =y\Longleftrightarrow f\left( y\right)  =x

…………………………

f(y) = x

⇔ 5y = x

\Longleftrightarrow  y =\frac{x}{5}

\Longleftrightarrow  f^{-1}(x) = \frac{x}{5}

4 0
2 years ago
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Yes he and his family have a good day tomorrow and I will let you the mason jar of the money he is going we I am so sorry I just need points for the questions
8 0
2 years ago
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