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3 years ago

If B is a point on AC and AB:BC = 1:2, what are the coordinates of B?

Mathematics

2 answers:

AlexFokin [52]3 years ago

7 0

-1/2 left and down 4

So it's #2

tatiyna3 years ago

3 0

We have to use the segment formula which is

$( \frac{mx_{2} + n x_{1} }{m+n}, \frac{my_{2} + n y_{1} }{m+n})$

Where m :n is the ratio.

Using this formula, we will get

$( \frac{1*4 +2(-5)}{1+2} , \frac{1(-10)+2*2}{1+2})$

And on simplifying , we will get

$( \frac{4-10}{3} , \frac{-10+4}{3}) = (-2,-2)$

Therefore the correct option is 1 .

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3 years ago

Read 2 more answers

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec

tiny-mole [99]

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

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Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

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3 years ago

When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba

Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

$z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25$

And

$z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}$

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

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3 years ago

What's the fraction root of 9 over 49?

irakobra [83]

<span>√9/49

First you figure out the square root of 9 which is 3 since 3 x 3 equals 9. Then you find the square root of 49 which is 7 since 7 x 7 equals 49. Therefore, the answer is 3/7</span>

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3 years ago

Units must be consistent. If the unit for p is dollars, the unit for i is dollars and the unit for t is years, what must the uni

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3 years ago