Mathematics, 13.10.2019 23:10 kcutler8603

Find the coordinates of point p along the directed line segment ab so that the ratio of ap to pb is 1 to 4. a(8,0),b(3,−2)

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Answer from: ErrorNameTaken505

Lines can be divided into smaller segments by using ratios.

The coordinate of P is $\mathbf{P = (7,-0.4)}$

The given parameters are:

$\mathbf{A = (8,0)}$

$\mathbf{B = (3,-2)}$

$\mathbf{m:n = 1 : 4}$

Line ratio is calculated using

$\mathbf{P = \frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}}$

So, we have:

$\mathbf{P = \frac{1 \times 3 + 4 \times 8}{1+4},\frac{1 \times -2 + 4 \times 0}{1+4}}$

$\mathbf{P = \frac{35}{5},\frac{-2}{5}}$

$\mathbf{P = (7,-0.4)}$

Hence, the coordinate of P is $\mathbf{P = (7,-0.4)}$

Read more about line ratios at:

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Find the coordinates of point p along the directed line segment ab so that the ratio of ap to pb is

Answer from: caseypearson377

(7, -0.4)

Step-by-step explanation:

Let's start by plotting the two given points A = (8,0) and B = (3,-2) (see attached image). A is shown in orange and B in green.

Notice that A and B are separated from each other 5 divisions horizontally, and 2 divisions vertically. We depicted in red the segment joining both.

In order to divide the segment AB in two pieces such that their ratio AP/PB = 1/4, we need to divide it in exactly 4 + 1 = 5 equal parts, this way, once we locate point P, its distance from point A will be 1/4 of its distance from point B.

Point P has been approximately located in such position in the image.

Now, to calculate the exact position of point P and give it as an order pair, we need to find its x and y locations on the plane.

Since there are exactly 5 horizontal divisions between A and B, the horizontal position of point P will be one division to the left of A, that is: at x=7.

Now for point P vertical position, we consider that there are just 2 vertical division between A and B, and we need 5 subdivisions. therefore, 2 divided by 5 will give us the length of the vertical "steps" we need to consider: 2/5 = 0.4 Therefore, point P should be located at the coordinate pair: (7, -0.4)

Answer from: Quest

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.

Answer from: Quest

351°f

step-by-step explanation:

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Find the coordinates of point p along the directed line segment ab so that the ratio of ap to pb is...

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