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Allisa [31]
1 year ago
13

line segment eg is partitioned by point f in the ratio 1:1. point e is at e (0, 4), and point f is at (1, 3). what are the coord

inates of point g?
Mathematics
1 answer:
damaskus [11]1 year ago
6 0

The coordinates of G (x₂ , y₂) for line segment EG = (2,2).

As given:

Line segment EG

Partitioned point of line segment is F

Coordinates of F (x ,y)=(1,3) and E (x₁ ,y₁)=(0,4)

Let coordinate of G (x₂ , y₂)

Ratio m:n =1:1

(x ,y) ={ ( mx₂ +nx₁ )/ (m +n) , ( my₂ +n y₁ )/ (m +n)

⇒(1,3) = {(1x₂ +1(0) )/2 , 1y₂ +1(4) /2}

⇒x₂ =2, y₂ =2

Therefore, the coordinates of G (x₂ , y₂) for the given line segment is equal to (2,2).

   

Learn more about line segment here

brainly.com/question/25727583

#SPJ4

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You posted a lot of problems here. In the future please only post one problem at a time. Thank you.

I'll do the first two problems to get you started. Hopefully it will help you finish off the rest of the questions.

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Problem 1

{18, a, b, -3} is an arithmetic sequence or arithmetic progression (AP).

This means we have some number d added on to each term to get the next term.

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Therefore, a+b = 11+4 = 15

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<h3>Answer: 15</h3>

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Problem 2

A multiple of 4 is in the form 4*n for some integer n, ie n is a whole number.

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Divide both 10 and 250 by 4 to get the following

10/4 = 2.5

250/4 = 62.5

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If n = 62, then 4*n = 4*62 = 248 is between 10 and 250; while n = 63 will make 4*n too big because 4*63 = 252. The largest n can get is n = 62

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The question posed in question 2 is equivalent to asking the following: "How many values are in the set {3, 4, 5, ..., 60, 61, 62}?"

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There are 60 multiples of four that are between 10 and 250.

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<h3>Answer: 60</h3>
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