How can logical reasoning be applied to writing proofs?
1 answer:
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<u>Answer:</u>
- Infinitely Many Solutions
<u>Step-by-step explanation:</u>
<u>Step-1: Re-write the equations into correct form.</u>
- => 6x + 3y = 24
y = -2x + 8
- => 6x - 24 = -3y
-2x + 8 = y
<u>Step-2: Multiply "-2x + 8 = y" by 3.</u>
- => 6x - 24 = -3y
-6x + 24 = 3y
<u>Step 3: Subtract or Add if needed</u>
- => 0 = 0
<u>Because we got a result 0 = 0, this means that the system has infinitely many solutions.</u>
Hoped this helped.
Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
