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2 years ago

6

Lines l and m are parallel. lines t1 and t2 are transversals.

1 answer:

Lorico [155]2 years ago

7 0

I think it is an acute angle

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PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?

GREYUIT [131]

Answer:

To find the inverse of:

$f (x)=\dfrac{4}{x-2}-1$

Set the function to y:

$\implies y=\dfrac{4}{x-2}-1$

Rearrange to make x the subject:

$\implies y+1=\dfrac{4}{x-2}$

$\implies (y+1)(x-2)=4$

$\implies xy-2y+x-2=4$

$\implies xy+x=2y+6$

$\implies x(y+1)=2y+6$

$\implies x=\dfrac{2y+6}{y+1}$

Swap x and y:

$\implies y=\dfrac{2x+6}{x+1}$

Change y to the inverse of the function sign:

$\implies f$ $\:^{-1}(x)=\dfrac{2x+6}{x+1}$

Rewrite g(x) as a fraction:

$g(x)=\dfrac{3}{x+2}-2$

$\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2x-4}{x+2}$

$\implies g(x)=-\dfrac{2x+1}{x+2}$

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

4 0

1 year ago

construct a two column proof proving SM RN, given RM SN and ∠MRS ∠NSR. Submit the entire proof to your instructor.

AveGali [126]

I cannot see the column please text me

8 0

3 years ago

What are the x-intercepts of the quadratic function?

ivolga24 [154]

X=3 and x=-9 solve by factoring

3 0

3 years ago

Convert 153 degrees into radians to the nearest to decimals places

STatiana [176]

Since we know there are π radians in 180°, then how many radians are there in 153°?

$\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&153
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x$

6 0

2 years ago

Reduce to simplest form.<br> -7/12 + 3/8<br> (They are fractions)

denpristay [2]

Answer:

-5/24

Step-by-step explanation:

You first change -7/12 to -14/24, and 3/8 to 9/24 so they have the same denominator. You then do -14/24 + 9/24. That will be the same as the opposite of the answer to 14/24 - 9/24.

14/24 - 9/24 = 5/24

-5/24

4 0

3 years ago