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mixer [17]
3 years ago
9

What does a ⊥ c the upside-down t mean? (this is from geometry) Please help

Mathematics
1 answer:
Lilit [14]3 years ago
3 0
The upside down t means that the two lines are perpendicular
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Please hurry! This is due soon.
kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

x=\frac{e^7^y+\sqrt{3}}{2}

2x=e^7^y+\sqrt{3}

e^7^y=2x-\sqrt{3}

7y=ln(2x-\sqrt{3})

y=\frac{ln(2x-\sqrt{3})}{7}

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

g(f(x))

g(\frac{e^7^x+\sqrt{3}}{2})

\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}

2s cancel.

\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}

The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

\sqrt{3}s cancel.

\frac{7x}{7}

7s cancel.

x

Hope this helps!

3 0
2 years ago
Solve the system of equations and choose the correct ordered pair. 2x+4y=16 2x-4y=0
miss Akunina [59]

Answer:

(4, 2)

Step-by-step explanation:

Start by combining the equations

2x + 2x = 4X

4y - 4y = 0

16 + 0 = 16

4x = 16

x = 4

Now that you have one variable plug it back in to one of the original equations

2(4) + 4y = 16

8 + 4y = 16

4y = 8

y = 2

(4, 2)

8 0
3 years ago
The sum of 5 consecutive odd numbers is 145.
Anna007 [38]
Let x be the first odd integer. x + 2 the second x + 4 the third x + 6 the fourth x + 8 the fifth. add them up and you get 5x + 20 set 5x + 20 = 145 and solve for x. 5x=145-20 5x=125 x=25 answer=25,27,29,31,33
7 0
3 years ago
Read 2 more answers
Tomas reparte 9 kg de mandarinas en mallas de tres cuartos de kilo cada una . ¿Cuantas mallas obtiene?
MrRissso [65]

Responder:

12

Explicación paso a paso:

Dado que:

Kilogramo total de mandarina = 9 kg

Tamaño de cada distribución = 3/4 de kilo

Número de mallas:

Kilogramo / tamaño total por distribución

9 kg ÷ 3/4 kg

9 * 4/3

= (9 * 4) / 3

= 36/3

= 12

7 0
2 years ago
Solve.
Serhud [2]

Answer:

Step-by-step explanation:

12.9 + 10.2x = 35.1

10.2x = 35.1 - 12.9

10.2x = 22.2

x = 22.2/10.2

x= 222/102 = 111/51

x= 2\dfrac{9}{51}

6 0
2 years ago
Read 2 more answers
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