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lexiepedit4958
20.05.2021 •
Mathematics
Which expression has the greatest value?
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Ответ:
Step-by-step explanation:
The first answer is correct
Ответ:
The other endpoint is (-4, -5)
Step-by-step explanation:
We know the formula for the coordinates of the point dividing the line segment in the ratio of a : b is
x = x' +![\frac{a}{a+b}(x"-x')](/tpl/images/0203/8972/2760f.png)
y = y' +![\frac{a}{a+b}(y"-y')](/tpl/images/0203/8972/f3ed2.png)
Now we plug in the values of endpoints (8, -1) and (x, y) with a point (5, -2) dividing the segment in 1 : 3 ratio.
5 = 8 +![\frac{1}{1+3}(x-8)](/tpl/images/0203/8972/22c8f.png)
5 - 8 =![\frac{x-8}{4}](/tpl/images/0203/8972/edcbe.png)
(x - 8) = -3×4 = -12
x = -12 + 8 = -4
Similarly, -2 = -1 +![\frac{1}{1+3}(y+1)](/tpl/images/0203/8972/48b50.png)
-2 + 1 =![\frac{1}{4}(y+1)](/tpl/images/0203/8972/b9586.png)
y + 1 = -1(4)
y + 1 = -4
y = -1 - 4 = -5
Therefore, another endpoint of the segment is (-4, -5).