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What is the domain of the function y=tan (x/8)<br> Please Help<br> 15 Points

7nadin3 [17]

1. You have the function $y=tan(\frac{x}{8} )$

2. You know that $y=\frac{sinx}{cosx}$ with $cosx\neq 0$ , because the division by zero is not defined. So , $cosx=0$ for $\frac{(2n+1)\pi}{2}$ where $n$ is a integer number.

3. Then, to find the domain of the function given in the problem, you must make $\frac{x}{8} \neq \frac{k\pi}{2} \\ x\neq 4k\pi$

Where $k$ is odd number.

4. Therefore:

$x\neq 4\pi (2n+1)$

5. Finally, the domain is: $4\pi (2n+1)$

The answer is: $4\pi (2n+1)$

5 0

3 years ago

Read 2 more answers

The circle C has centre A(2,1) and passes through the point B(10,7). Find and equation for C

Semmy [17]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

$A(2,1) - \hbox{the centre} \\
h=2 \\ k=1 \\ \\
(x-2)^2+(y-1)^2=r^2 \\ \\
\hbox{passes through B(10,7)} \\
x=10 \\
y=7 \\ \\
(10-2)^2+(7-1)^2=r^2 \\
8^2+6^2=r^2 \\
64+36=r^2 \\
r^2=100 \\ \\
\hbox{the equation:} \\ \boxed{(x-2)^2+(y-1)^2=100}$

7 0

3 years ago

Solve I2 x- 2I < 8<br>O [xl-3 <x<5)<br>XIX<-3 or x>5)<br>{xl-5 <x<3)

azamat

Answer: Its b also y u test so ez what grade u in lol?

8 0

3 years ago

If the point A at (5, 3) is rotated clockwise about the origin through 90o, what will be the coordinates of the new point?

evablogger [386]

The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap. Then the coordinate will be (3, -5).

<h3>What is a transformation of a point?</h3>

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

If the point A at (5, 3) is rotated clockwise about the origin through 90°.

Then the coordinates of the new point will be

The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap.

Then the coordinate will be (3, -5).

More about the transformation of a point link is given below.

brainly.com/question/27224339

#SPJ1

7 0

2 years ago

Rotate the figure 90 degrees about vertex A.

ziro4ka [17]

Answer:

A' is (1,1) B is (4,1) C is (1,-1)

Step-by-step explanation:

Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).

5 0

3 years ago