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3 years ago

Find the exact length of the third side.

Mathematics

2 answers:

malfutka [58]3 years ago

6 0

Answer:

5sqrt3

Step-by-step explanation:

Using the pythagorean theorem, we have a^2+4^2=9^2

a^2 + 16 = 81

a^2 = 75.

a = sqrt75.

75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3

podryga [215]3 years ago

4 0

Answer:

8.0622577483

Step-by-step explanation:

pythagorean theorem

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dolphi86 [110]

Hello and Good Morning/Afternoon

Let's tale this problem step-by-step:

What does the problem want:

$\hookrightarrow \text{the unemployment compensation}$

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#LearnwithBrainly

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2 years ago

) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

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Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

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3 years ago

What should be multiplied with -25/36 to get -5/9

Ierofanga [76]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

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2 years ago