Answer:
Solutions are;
x = -8
x = -3.2
Step-by-step explanation:
Here, we want to solve the given equation for x
|(x-4)/(x + 5)| = 4
From what we have, this is an absolute value equation and thus, we are going to have two solutions
These are;
x-4/x+ 5 = 4
x-4 = 4(x + 5)
x-4 = 4x + 20
x-4x = 20 + 4
-3x = 24
x = -24/3
x = -8
secondly;
x-4/x+5 = -4
x-4 = -4(x + 5)
x-4 = -4x - 20
x + 4x = -20 + 4
5x = -16
x = -16/5
x = -3.2
9514 1404 393
Answer:
- -51
- -30
- -60
- 2 or -2
Step-by-step explanation:
The function puts a minus sign on 3 times the magnitude of the input.
1. y = -|3×17| = -51
2. y = -|3×10| = -30
3. y = -|3×20| = -60
4. -6 = -|3x|
2 = |x| . . . . divide by -3
x = ±2 . . . . two possibilities
I would say 25 is the answer to it
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
Learn more about the inscribed angle theorem on:
brainly.com/question/3538263
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