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3 years ago

Segment HK is divided by point J at a ratio of 3.4. If H(6,9) and J(12, 18), what are the coordinates of point K?

Mathematics

1 answer:

RSB [31]3 years ago

8 0

Answer:

Step-by-step explanation:

$x=\frac{mx2+nx1}{m+n}\\let~coordinates ~of~K~be~(x,y)\\12=\frac{3x+4*6}{3+4}\\12*7=3x+24\\3x=84-24\\3x=60\\x=60/3=20\\18=\frac{3y+4*9}{3+4}\\18*7=3y+36\\3y=126-36\\3y=90\\y=90/3=30\\so~K~is~(20,30)$

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Answer:

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Step-by-step explanation:

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2 years ago

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Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs

Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

$AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}$

$AB \approx 7.616$

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Now we determine the area of the triangle by Heron's formula:

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Where:

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If we know that $AB \approx 7.616$ , $BC \approx 6.325$ and $AC \approx 5.831$ , then the area of the triangle is:

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2 years ago

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KatRina [158]

Answer:

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Step-by-step explanation:

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3 years ago

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Alex Ar [27]

Answer:

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Here the results are recorded for 120 times at random.

Since number of trials is large, we can expect a reliable and accurate results representing the actual probability.

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