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polet [3.4K]
3 years ago
15

What are the coordinates of the point on the directed line segment from (-10, 10)(−10,10) to (-5, 5)(−5,5) that partitions the s

egment into a ratio of 2 to 3?
Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

(-7, 7)

Step-by-step explanation:

The formula for calculating the coordinate point is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

X = ax1+bx2/a+b

X = 2(-10)+3(-5)/2+3

X = -20-15/5

X = -35/5

X = -7

Y = ay1+by2/a+b

Y = 2(10)+3(5)/2+3

Y = 20+15/5

Y = 35/5

Y = 7

hence the required coordinate is (-7, 7)

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Step-by-step explanation:

First you want to know that you want to subtract the bird seed Jackie got (2 2/3 and 1/4) by the total Jackie bought (5 1/2).

Now set up the equation as 5 1/2 - (2 2/3+ 1/4). Now you need to realize that the fractions are not the same and need to be changed to similar denominators. 2 can be changed to any even denominator so it matters less to what we change it to, so let's focus on the bird seed Jackie used and convert it. 2/3 and 1/4 can be changed into 12's so multiply on the numerator and denominator to get these values. 2/3 would then become 8/12 and 1/4 would become 3/12. 1/2 would then also become 6/12.

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