Find the slope of x 0 2 4 8 Y 0 12 24 48

Find the length of the hypotenuse of a right triangle whose legs measure 6 and 5

Pavel [41]

A right triangle is a type of triangle which contains a right triangle. To be a right triangle, it should satisfy the Pythagorean Theorem which relates the three sides of the triangle. In this triangle, the longest side is called as the hypotenuse. To determine the hypotenuse, we use the Pythagorean Theorem which is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse

We calculate as follows:

c^2 = a^2 + b^2
c^2 = 6^2 + 5^2
c^2 = 61
c = √61

Therefore, the hypotenuse of the right triangle with sides 6 and 5 would be √61 which, clearly, is longer than the two sides.

6 0

3 years ago

You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the di

forsale [732]

Answer:

$x^2-4x+3$

$63\ \text{sq. units}$

Step-by-step explanation:

l = Length = $\dfrac{x^2-x-6}{x-5}$

w = Width = $\dfrac{x^2-6x+5}{x+2}$

Area is given by

$A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3$