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TEA [102]
3 years ago
7

Points A, B, and C are collinear and AB:AC=2:5. Point A is located at (-3,-4), point B is located at (m,n) and point C is locate

d at (2,6). What are the values of m and n? Show all work.
Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

m = -11/7

n = -8/7

Step-by-step explanation:

Here, what we want to calculate is the coordinates of the point B

Let’s consider the straight line as A B C

we can see that actually, the point B divides the line into the ratio 2:5 since AB:AC is 2:5

Thus, by using the internal division formula (section formula) with the ratio of division, we can get the coordinates of point B

Mathematically, the formula for internal division is given as follows;

B = ( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

From the question;

m:n = 2:5

Thus m = 2, n = 5

(x1,y1) are coordinates of A

x1 = -3 , y1 = -4

(x2, y2) are coordinates of C

x2 = 2 , y2 = 6

Thus, substituting these values into the equation we have;

B ={ 2(2) + 5(-3)}/(2+5) , {2(6) + 5(-4)}/(2+5)

B = (-11/7, -8/7)

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3 years ago
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victus00 [196]
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Pam read 126 pages of her summer reading book in 3 hours. Zack read 180 pages of his summer reading book in 4 hours. If they con
LiRa [457]
Zack reads faster so he will finish first
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Help plz...................................
N76 [4]

Answer:

12

Step-by-step explanation:

These are similar triangles, so the ratio of their sides is the same for each side.

AB = 8  and  BD = 10

So, the ratio is 8:10   or   4:5

Because the triangles are similar....

The ratio of AC:CE  is also  4:5

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So, 12 is the answer!

8 0
3 years ago
What is the solution for <br> 10+2w&gt;=22 or 5w-8&gt;-12
Marina CMI [18]

Answer:

no solution

Step-by-step explanation:

10+2w>=22 or 5w-8>-12

10-2w>=22 or (5w-2w)-8>-12

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18>=22 or 3w>12

18/3>=22 or 3w/3>12

6>=22 or w>12

3 0
2 years ago
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