Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
3x - 8 = 2x + 15
Add 8 to both sides
3x = 2x + 23
Subtract 2x from both sides
x = 23
Answer:
Unit of measure
Step-by-step explanation:
Unit of measure
When we construct any type of graph the unit of measure needs to be present, becuase the numbers without units are just numbers and with just the numbers we can't have physical interpretation of the situation.
For this reason is importatn to include the units of meausre with the plots since with that we have a point of reference for the variables used.
And satisfy the condition "A standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph."
8f+37 is the answer to check:
4 times 8 is 32 + 4 times 2f is 8f..........then 32+8f+5 to 8f + 37 is your answer
X*2-8x-9/5*2-45x
2x-8x-18/5-45x
-51x-18/5
y=x*2-8x-9/5*2-45x