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2 years ago

Find the value of x. X + 11 X-1 B 8 10 E x=

Mathematics

1 answer:

Luden [163]2 years ago

6 0

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

The product of secant lengths to the two intersection points is the same for both secants.

(AD)(AE) = (AB)(AC)

8(8+10) = (x-1)(x-1 +x+11)

144 = 2x^2 +8x -10

x^2 +4x -77 = 0

(x +11)(x -7) = 0

Solutions to this quadratic are x = -11, x = 7. (These values make the factors zero.) Only the positive solution is useful here

x = 7

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Let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))

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Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

$f(x)=\frac{x-2}{3}$

You must substitute $x=2$ into the function f(x). Then:

$f(2)=\frac{(2)-2}{3}$

2. Evaluating, you get:

$f(2)=\frac{0}{3}\\\\f(2)=0$

3. Now, the next step is to substitute $f(2)$ into the function g(x):

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4. Finally, evaluating, you get the following result:

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You can identify that it matches with the Option C.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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