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nekit [7.7K]
3 years ago
6

A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are

the coordinates of point C?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is (x,y).

To get it's coordinates, we use the section formula:

(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})

Where (m,n) is the (AB, BC)

Therefore we have

(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})

This gives:

(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})

-1 =( \frac{x + 6}{2} and 2 = \frac{y + 3}{2})

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

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Consider the trinomial 6x² + 13x + 6.

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2 years ago
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20x + 5<br> 24.x-1<br> what’s x?
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2 years ago
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and
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Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of  length of a newborn baby is a bell shaped distribution that is a normal distribution.

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We have to find the value of x such that the probability is 0.99

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