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Elenna [48]
3 years ago
5

A sail is in the form of a right triangle that is four times as high as it is wide. the sail is made from 18 square meters of ma

terial what is its height?
Mathematics
1 answer:
Lilit [14]3 years ago
6 0

Answer:

Area = 1/2 b x h

18 = 1/2 ((x) x 4x)

18 =1/2 4x^2

36 = 4x^2

36/4 = x^2

9 = x ^2

x = 3

Base = 3 m

Height = 4 x base = 4 x 3  = 12 m

Step-by-step explanation:

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Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

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for the second solution we deal with

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so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

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x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

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the general solution to such a square equation is

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in our case

a = 1

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c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

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x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

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