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arlik [135]
3 years ago
5

Is the line through points P(0, 7) and Q(2, 10) parallel to the line through points R(-2, 5) and S(0, 8)? Explain.

Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

  Yes because they have the same slope of 3/2

Step-by-step explanation:

The slope of PQ is ...

 (10 -7)/(2 -0) = 3/2

The slope of RS is ...

  (8 -5)/(0 -(-2)) = 3/2

The slopes are the same (3/2), so the lines are parallel.

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3 years ago
Write a quadratic function that only has one root
AlekseyPX

Answer:

y= x squared.

Step-by-step explanation:

When graphed, the parabola only has an x-intercept at (0,0). Since a root is another word for an x-intercept, it only has one root.

I hope this helps, and I hope you have a good day.

3 0
3 years ago
The probability of tossing heads with a standard coin is 1/2, because it is one of two possible outcomes. The probability of tos
spayn [35]

Answer:

  a) 1/64

  b) 1/4096

Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

<em>Additional comment</em>

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

3 0
2 years ago
an aquarium has a ratio of 5 rays for every 3 sharks. What percent of this grouping of animals are rays
sashaice [31]

Answer:

62.5%

Step-by-step explanation:

Total number of animals in a group= 5+3=8 animals

Number of rays=5

Since we only have 5 rays out of the total 8, to express the number of rays as a percentage of the total animals, we divide the number of rays by the total animals then multiply by 100 to express in percentage as needed in the question

Percentage of rays=\frac {5}{8}\times 100=62.5

Therefore, the percentage is 62.5%

6 0
3 years ago
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