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erma4kov [3.2K]
3 years ago
13

In the figure below, find the exact value of y.

Mathematics
1 answer:
Maru [420]3 years ago
7 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

y is the geometric mean of the segment lengths.

  y = √(4·1)

  y = 2

_____

You can also get there by considering the similarity of the triangles:

  short side / long side = y/4 = 1/y

  y^2 = 4 . . . . . . . multiply by 4y\

  y = √4 = 2 . . . . take the square root

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notsponge [240]

Answer:

\large\boxed{x=7}

Step-by-step explanation:

5^{x+2}=5^9\iff x+2=9\qquad\text{subtract 2 from both sides}\\\\x+2-2=9-2\\\\x=7

5 0
3 years ago
What is the simplified form of the quantity of x plus 6, all over the quantity of x plus 4 + the quantity of x minus 3, all over
11Alexandr11 [23.1K]

Answer:

<u>(x² + 4x + 6)/ 3x + 12</u>

<u>This is the most simplified form</u>

Step-by-step explanation:

Let's simplify the expression:

(x + 6)/(x + 4) + (x - 3)/3

Least Common Denominator : 3 * (x + 4)

[3 * (x + 6) + (x - 3) (x + 4)]/ 3 * (x + 4)

Solving parentheses:

[3x + 18 + x² - 3x + 4x - 12]/ 3 * (x + 4)

Like terms:

<u>(x² + 4x + 6)/ 3x + 12</u>

<u>This is the most simplified form</u>

6 0
4 years ago
Cómo se expresa en notación científica 1254​
lisov135 [29]

Answer:

1.254 * 10^3

Step-by-step explanation:

1254 = 1.254 * 1000 = 1.254 * 10^3

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3 years ago
If the Domain for a table is 3,6,8,10,19 and the Range is 1,2,4.-3.-12. Is it a function?
Eddi Din [679]

Answer:

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4 years ago
help pls! will give brainliest to whoever answers correctly and explains their answer. (PLS DONT ANSWER IF YOU DONT KNOW)
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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