2 | 3x - 5 | - 8 = 8
=> 2 | 3x - 5 | = 8 + 8
=> 2 | 3x - 5 | = 16
=> | 3x - 5 | = 16 / 2
=> | 3x - 5 | = 8
=> 3x - 5 = 8 or 3x - 5 = - 8
=> 3x = 13 or 3x = - 3
=> x = 13 / 3 or x = - 1
=> x = 4 and 1/3 or x = - 1
So, the answer is the second option x = - 1 or x = 4 1/3
The graph of such solutions are just the point in the real line.
For x = 4 1/3, divide the segment from 4 to 5 in three equal parts (add two divisions between 4 and 5) and mark your point in the first division after 4.
Your equation is gonna be
4.5a + 2.5b = 4.25
I forgot how lol but you gotta now solve for A and B.
-3*0 is 0-4 is -4 which is less than -2
-3*3 is -9-4 is -13 which is also less than 2
Answer:
2
Step-by-step explanation:
For some angle "a", the sine and cosine are related by ...
sin(a) = cos(π/2 -a)
That is,
sin(7π/16) = cos(π/16)
sin(5π/16) = cos(3π/16)
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Then your sum becomes ...
sum = sin(π/16)² +sin(3π/16)² +cos(3π/16)² +cos(π/16)²
If we let α = π/16 and β = 3π/16, this can be written as ...
sum = (sin(α)² +cos(α)²) +(sin(β)² +cos(β)²)
sum = 1 + 1
sum = 2
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The identity sin(α)² +cos(α)² = 1 is sometimes called the Pythagorean identity.
Answer:
x = 0
Divide both sides by the numeric factor on the left side, then solve.