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Mekhanik [1.2K]

2 years ago

6

How do you find the missing length

1 answer:

uranmaximum [27]2 years ago

3 0

To find the missing length of a triangle we will use the Pythagorean Theorem.
Pythagoream Theorem = a^2 + b^2 = c^2
With this formula, we can find the missing side as follows:
27^2 + 36^2 = c^2
729 + 1,296 = C
2,025 = C
45 = C^2
There for we can conclude that the answer for the missing side is: 45 inches.

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HELP ASAP PLZ i need help !<br>help me :((

kodGreya [7K]

Answer:

(1) $g[f(x)]=\frac{8x-1}{12x-4}$

(2) $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

Step-by-step explanation:

Given functions f(x) = (4x-1)

are $g(x)=\frac{2x+1}{3x-1}$

(1) $g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}$

$=\frac{8x-2+1}{12x-3-1}$

$=\frac{8x-1}{12x-4}$

(2) for $g^{-1}(x)$ , rewrite the function g(x) in terms of an equation

$y=\frac{2x+1}{3x-1}$

Substitute y in place of x and x in place of y, then solve for y.

$x=\frac{2y+1}{3y-1}$

(3y-1)x = 2y+1

3xy - x = 2y + 1

3xy - 2y = x + 1

y(3x-2) = x + 1

$y=(\frac{x+1}{3x-2} )$

⇒ $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $f[g(x)]=(x-1)$

$f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)$

⇒ $\frac{(8x+4)-(3x-1)}{3x-1}=(x-1)$

⇒ $\frac{8x-3x+4+1}{3x-1}=(x-1)$

⇒ $\frac{5x+5}{(3x-1)}=(x-1)$

⇒ $5x+5=(3x-1)(x-1)$

⇒ $5x+5=3x^2-3x-x+1$

⇒ $5x+5=3x^2-4x+1$

⇒ $3x^2-9x-4=0$

⇒ $x=\frac{9\pm\sqrt{(-9)^2-4(-4)\times3} }{2\times3}$

$x=\frac{9\pm\sqrt{81+48} }{6}$

$x=\frac{9\pm\sqrt{129} }{6}$

$x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

4 0

3 years ago

Vladimir79 [104]

Answer:

1) 4

2)I think 2

3)4

4)3

5)2

6)1

7)3

Step-by-step explanation:

1) since the x is to squared it is a quadratic equation

3) A and D have same slope=0.5

others were solved using Excel

3 0

2 years ago

If A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 4:5. If A is at (-3, 7) and B is at (1, -5), wh

Levart [38]

Answer:

the coordinates for c is 5, -17

Step-by-step explanation:

5 0

2 years ago

Carlos kept track of how much cereal he ate for two months and found that he ate 208 ounces of cereal in that time. How many pou

kifflom [539]

Answer:

13 pounds

Step-by-step explanation:

if its wrong then-

3 0

2 years ago

What is 34/100 simplified?

klio [65]

It is 17/50 because 17 times 2 is 34 and 50 times 2 is 100. That 17/50 is the lowest it can go so that is your answer.

17/50 is ur answer

5 0

2 years ago

Read 2 more answers