Factorise completely i) a + b + at + bt ii) x^2 - 2x

What is the value of X6? Show the solution.

wariber [46]

Answer : The value of $x_6$ is $\sqrt{7}$ .

Explanation :

As we are given 6 right angled triangle in the given figure.

First we have to calculate the value of $x_1$ .

Using Pythagoras theorem in triangle 1 :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(x_1)^2=(1)^2+(1)^2$

$x_1=\sqrt{(1)^2+(1)^2}$

$x_1=\sqrt{2}$

Now we have to calculate the value of $x_2$ .

Using Pythagoras theorem in triangle 2 :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(x_2)^2=(1)^2+(X_1)^2$

$(x_2)^2=(1)^2+(\sqrt{2})^2$

$x_2=\sqrt{(1)^2+(\sqrt{2})^2}$

$x_2=\sqrt{3}$

Now we have to calculate the value of $x_3$ .

Using Pythagoras theorem in triangle 3 :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(x_3)^2=(1)^2+(X_2)^2$

$(x_3)^2=(1)^2+(\sqrt{3})^2$

$x_3=\sqrt{(1)^2+(\sqrt{3})^2}$

$x_3=\sqrt{4}$

Now we have to calculate the value of $x_4$ .

Using Pythagoras theorem in triangle 4 :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(x_4)^2=(1)^2+(X_3)^2$

$(x_4)^2=(1)^2+(\sqrt{4})^2$

$x_4=\sqrt{(1)^2+(\sqrt{4})^2}$

$x_4=\sqrt{5}$

Now we have to calculate the value of $x_5$ .

Using Pythagoras theorem in triangle 5 :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(x_5)^2=(1)^2+(X_4)^2$

$(x_5)^2=(1)^2+(\sqrt{5})^2$

$x_5=\sqrt{(1)^2+(\sqrt{5})^2}$

$x_5=\sqrt{6}$

Now we have to calculate the value of $x_6$ .

Using Pythagoras theorem in triangle 6 :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(x_6)^2=(1)^2+(X_5)^2$

$(x_6)^2=(1)^2+(\sqrt{6})^2$

$x_6=\sqrt{(1)^2+(\sqrt{6})^2}$

$x_6=\sqrt{7}$

Therefore, the value of $x_6$ is $\sqrt{7}$ .

5 0

2 years ago

Why do you think that people of every nationality and ethnicity live in Hong Kong (At least 3 sentences in your own words).

rusak2 [61]

Despite Hong Kong historically being part of China and being inhabited by Chinese people, that drastically happened in the last century. Hong Kong got into the hands of the European colonial powers, and even after they left the area, they didn't left Hong Kong. The reason why the presence in Hong Kong was kept was because of its excellent strategic position.

The newly formed nation had excellent ports and excellent location. It was quickly industrialized. That led to rapid economic growth. The economic growth and the prosperity of the small nation made, as well as it deep connections with the Western World, attracted lot of people to move in it. The Chinese population is still dominant, but over time people from all over the world moved in, thus the ethnic structure of this nation changes significantly, to a point where now it has citizens from pretty much every corner of the world.

4 0

3 years ago

In general, the highest relative humidity is observed ___________ and the lowest relative humidity is observed _____________

nikdorinn [45]

In general, the highest relative humidity is observed NEAR SUNRISE and the lowest relative humidity is observed during MID-AFTERNOON.

Relative humidity is inversely proportional to temperature. The colder the climate, the higher the relative humidity. The hotter the temperatures outside, the lower the relative humidity.

Relative humidity increases as the air temperature falls at night and peaks at dawn.

Temperature peaks during mid-afternoon, thus relative humidity is at its lowest.

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3 years ago

Flemig pinicilina, cual fue la posible respuesta al interrogante

damaskus [11]

Answer:

✋yyyyuuuuuuhhh

3 0

2 years ago

What are the names of the moons orbiting Mars

Yuliya22 [10]

Hey there!

Mars is the fourth planet from the sun and has 2 moons. They are: Phobos and Deimos.

Thank you for being part of the Brainly community!

6 0

3 years ago

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Factorise completelyi) a + b + at + btii) x^2 - 2x - 24