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3 years ago

Find the measure of AB

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

Answer:

AB = 7

Step-by-step explanation:

When 2 secants intersect a circle from an external point, then

CB × CA = CD × CE, that is

5(5 - 4 + x) = 6(6 + 4) ← simplify left side

5(1 + x) = 6 × 10 ← distribute left side

5 + 5x = 60 ( subtract 5 from both sides )

5x = 55 ( divide both sides by 5 )

x = 11

Hence

AB = - 4 + x = - 4 + 11 = 7

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Fiesta28 [93]

12x^2 = 4/3
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3 years ago

Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A) $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

case B) $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

case C) $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

case D) $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

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What is the value of x

Rufina [12.5K]

answer:

d: 30

all angles in a triangle have a sum of 180 degrees. Just add 50 and 100 (so 150) and do 180-150=30.

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3 years ago

Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu

lyudmila [28]

Answer:

Raspuns corect: b)

Step-by-step explanation:

a4b=24, a×4×b=24⇒a×b=6

perechile de numere cu produsul 6 sunt: {1,6} si {2,3}

a4b in baza 10=100a+40+b

100×1+40+6=146

100×6+40+1=641

100 ×2+40+3=243

100×3+40+2=342

146+641+243+342=1372

Raspuns corect: b)

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3 years ago

The amount of money, in dollars, Sarah has in her savings account is modeled as a function of time in months. This function is r

hjlf

Answer:

330.60.330.60.330.60.

Step-by-step explanation:

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3 years ago

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