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heavyhearttim
04.08.2019 •
Mathematics
You can estimate your distance from a lightning stroke by counting the seconds between the flash you see and the thunder you later hear. by what integer should you divide the number of seconds to get the distance in kilometers?
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Ответ:
Ответ:
answer: (-8,4) are the coordinates of a
step-by-step explanation:
let the side of square abcd is x .
thus the area of square abcd is
.
now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x
( because ad is the side of square)
and, according to the question,
the areas of square abcd and right ead are equal.
⇒![x^2=1/2\times ea\times ad](/tex.php?f=x^2=1/2\times ea\times ad)
⇒ea=2x
thus, ea: ab=2: 1
therefore, point a divides line segment eb into the ratio 2: 1.
⇒ by sectional formula coordinates of a are,
=![(\frac{2\times -7+1\times -10}{2+1},\frac{2\times 2+1\times 8}{2+1})](/tex.php?f=(\frac{2\times -7+1\times -10}{2+1},\frac{2\times 2+1\times 8}{2+1}))
=![(\frac{-24}{3}, \frac{12}{3})](/tex.php?f=(\frac{-24}{3}, \frac{12}{3}))
=(-8, 4)
thus the coordinates of a are (-8,4)