Ask question

Ask question

All categories

3 years ago

14

Can someone help me

1 answer:

trapecia [35]3 years ago

7 0

This uses the properties of a 30-60-90 triangle. the 90 m is opposite the 60 degree angle to convert to the side opposite the 30 divide 90 by $\sqrt{3}$
90 / $\sqrt{3}$ = 51.96 m or B

You might be interested in

-5/2x-19/10 <br><br> Plss Answer this in fraction form, and simplified, I can't figure it out!

Alja [10]

Answer:

= -25x-19/10

Step-by-step explanation:

8 0

2 years ago

write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:with those intercepts, (-4,0) and (0,2) are poi

Ber [7]

X/(-4)+y/2=0
-x/4+y/2=0

3 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

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%5C%5C%7D" id="TexFormula1" title="\sqrt[3]{216\\}" alt="\sqrt[3]{216\\}"

aivan3 [116]

Answer:

6

Step-by-step explanation:

$\sqrt[3]{216}$ = $\sqrt[3]{8}$ · $\sqrt[3]{27}$ = $\sqrt[3]{2}$ ³ · $\sqrt[3]{3}$ ³ = 2 x 3 = 6

7 0

2 years ago

If f(x) contains point (-3, 7), which point is definitely on f^-1(x)?

Vlad1618 [11]

B inverse you swap x and y

3 0

3 years ago