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Misha Larkins [42]

3 years ago

11

Can you write the equation of a circle if the point does not lie on the circle?explain

1 answer:

3241004551 [841]3 years ago

5 0

Answer:

Demonstrates how to complete the square to find the center and radius of a circle. ... The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the ... If you end up with an equation like (x + 4)2 + (y + 5)2 = 5, you have to keep straight that h ... That is, the center is at the point (–4, –5), not at (4, 5).

Step-by-step explanation:

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An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is

Dmitry_Shevchenko [17]

Fidn volume
V=hpir^2
d/2=r
1.4/2=0.7=r
height=3.5
V=3.5*3.14*0.7^2
V=5.3851

1.5 times t=5.3851
divide both sides by 1.5
t=3.59
round
t=4

4 minutes

6 0

3 years ago

For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

$x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}$

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

$f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+1}{y-1}$

Rewrite in terms of 'y'. This gives,

$x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}$

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

ira [324]

Answer:

Step-by-step explanation:

7 0

3 years ago

Someone painted 2/5 of a wall with 1/3 of a gallon of paint how much will they need to paint the rest of the wall? math problem

Allisa [31]

2/5+1/3=3/8(paint)-rest

7 0

3 years ago

Tia walked 1/2 mile in 5 minutes. She walked at the same rate for the entire distance. How far did Tia walk in 1 minute?

Hatshy [7]

She walked 1/10 of a mile in one minute
work: 1/2 a mile is 0.5 and 0.5 divided by 5 is 0.1 so you get 0.1 mile for each minute

3 0

3 years ago