<h2>ADC is another way to name it.</h2><h2 /><h3><em>Please let me know if I am wrong.</em></h3>
Answer:
Below!
Step-by-step explanation:
Using Pythagoras theorem, I will solve all of the problems.
<h3>________________________________________________</h3>
<u>Question 9:</u>
- 10² = 6² + x²
- => 100 = 36 + x²
- => 100 - 36 = x²
- => 64 = x²
- => x = 8
<h3>________________________________________________</h3>
<u>Question 10:</u>
- 26² = 24² + x²
- => 676 = 576 + x²
- => 676 - 576 = x²
- => 100 = x²
- => x = 10
<h3>________________________________________________</h3>
<u>Question 11:</u>
- 15² = 12² + x²
- => 225 = 144 + x²
- => 225 - 144 = x²
- => 81 = x²
- => x = 9
<h3>________________________________________________</h3>
<u>Question 12:</u>
- x² = 8² + 12²
- => x² = 64 + 144
- => x² = 208
- => x = √208
- => x = 14.2 (Rounded)
<h3>________________________________________________</h3>
<u>Question 13:</u>
- 7² = 2² + x²
- => 49 = 4 + x²
- => 49 - 4 = x²
- => 45 = x²
- => x = √45
- => x = 6.7 (Rounded)
<h3>________________________________________________</h3>
<u>Question 14</u>
First, let's solve for the variable x using Pythagoras theorem.
- => 5² = 3² + x²
- => 25 = 9 + x²
- => 16 = x²
- => x = 4 units
Now, let's solve for the variable y using Pythagoras theorem.
- (3 + 6)² = 5² + y²
- => (9)² = 25 + y²
- => 81 = 25 + y²
- => y² = 56
- => y = √56
- => y = 7.5 (Rounded) units
Answers (Nearest tenth):
<h3>________________________________________________</h3>
<u>Question 15:</u>
First, let's find the value of the variable y using Pythagoras theorem.
- 8² = 6² + y²
- => 64 = 36 + y²
- => 28 = y²
- => y = √28
- => y = 5.3 (Rounded) units
Now, let's find the value of the variable x using multiplication.
- x = 2y
- => x = 2(5.3)
- => x = 10.6 units
Answer (Nearest tenth)
- x = 10.6 units
- y = 5.3 units
<h3>________________________________________________</h3>
Answer:
Step-by-step explanation:
m (x) = (x+ 5) / (x -1) and n(x) = x - 3.

Hence

but n is a function and n = x-3. Now, replace value of n on m (n)

simplify it

since (m . n) (x) is a fraction function, its domain will be all x such that the denominator is NOT 0. That is

among options, only C has the same denominator with 
Hence their domains are the same.
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<u>T</u><u>h</u><u>u</u><u>s</u><u>,</u>
<h3><u>R</u><u>u</u><u>l</u><u>e</u><u> </u><u>i</u><u>s</u><u> </u><u>:</u></h3>
<u>︎⠀⠀ ⠀⠀ ⠀⠀ ⠀</u><u>︎⠀⠀ ⠀⠀ ⠀</u><u>8</u><u>×</u><u>T</u><u>o</u><u>t</u><u>a</u><u>l</u><u> </u><u>N</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u> </u><u>o</u><u>f</u><u> </u><u>P</u><u>u</u><u>r</u><u>s</u><u>e</u><u>.</u>
<h2><u>─━─━─━─━─━─━─━─━─━─━─━─━─</u></h2>
Answer:
It is increasing
The y-intercept is (0, 3).
The domain of F(x) is all real numbers.