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Neporo4naja [7]
2 years ago
12

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Mathematics
1 answer:
olga_2 [115]2 years ago
7 0

Answer:

5 units

Step-by-step explanation:

±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)

Apply distance formula

This is a topic on coordinate geometry. If you would like to find out more you can give my Instagram page a follow as I'll be updating on this topic soon. In addition, I will be posting other useful materials created by myself at the same platform too!

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Which pairs of triangles can be shown to be congruent using rigid motions?
andreyandreev [35.5K]

Two figures are congruent if and only if there exists one or more rigid motions which will map one figure onto the other.

1. Triangles ABC and MNP are not congruent.

2. Triangles ABC and EFG are not congruent

3. Triangles ABC and STU are congruent.

4. Triangles EFG and MNP are congruent.

5. Triangles EFG and STU are not congruent.

6. Triangles STU and MNP are not congruent.

7 0
3 years ago
Read 2 more answers
Combine like terms. y + 7 + 4(y + 3) =
bearhunter [10]

Answer:

5y+19

Step-by-step explanation:

should be the answer

8 0
2 years ago
An unfair die is twice as likely to roll an even number than an odd number. what is the probability of it rolling an odd number?
Anarel [89]
The probability is always expressed as a part of the whole. So, it can be in terms of fraction or percentage. The numerator is the number of possible events while the denominator is the number of total events. Let x be the number of times you roll an odd number. So, the number of times you roll an even number would be 2x. The total rolls would then be x + 2x. Thus, the probability of rolling an odd number is

Probability = x/(2x + x) = x/3x = 1/3


3 0
3 years ago
If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less
Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that \mu = 489, \sigma = 6

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{466 - 489}{6}

Z = -3.83

Z = -3.83 has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

3 0
2 years ago
What is h(-2)<br> H(-1.75)<br> H(1)
ruslelena [56]

h(x)=\left\{\begin{array}{cccc}-2&if&-2\leq x

3 0
3 years ago
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