The lengths of the legs of a right triangle are 10 cm and 24 cm.

1 answer:

4 0

In order for us to get the hypotenuse of a right triangle, let's follow the Pythagorean Equation:
h^2 = a^2 + b^2

Getting the hypotenuse:
h = square root (a^2 + b^2)
h = square root (10^2 + 24^2)
h = square root (100 + 576)
h = square root (676)
h = 26

So the hypotenuse is equal to 26 cm.

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3x - 3y = -3 2x - y = -5

Korolek [52]

For this case we must solve the following system of equations:

$3x-3y = -3\\2x-y = -5$

To solve we follow the steps below:

We multiply the second equation by -3:

$-6x + 3y = 15$

Thus, we have the equivalent system:

$3x-3y = -3\\-6x + 3y = 15$

We add the equations:

$3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4$

We look for the value of the variable "y":

$2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3$

Thus, the solution of the system is given by:

$(x, y): (- 4, -3)$

Answer:

$(x, y): (- 4, -3)$

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ANSWER

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