All categories

2 years ago

Explanation/proof why the lines are parallel and insights

Mathematics

1 answer:

Delvig [45]2 years ago

5 0

Answer:

The lines are parallel is the will never touch.

Step-by-step explanation:

You might be interested in

Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

1 year ago

Please help me!!! What reason belongs to step 10?

castortr0y [4]

SAS

you see RT = RT

angle TRU = angle RTU

RU = TV

4 0

3 years ago

Y=3x, x+y=52 Solve by subtracting

Nesterboy [21]

Answer:

x=13,y=39

Step-by-step explanation:

y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

5 0

2 years ago

Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?

Anni [7]

The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

4 0

3 years ago

Solve 4(2x - 3) = 6x + 2

Aleks [24]

X=7 hope it helps!!!!

8 0

2 years ago

Read 2 more answers

Explanation/proof why the lines are parallel and insights​

Explanation/proof why the lines are parallel and insights