The required equation of line is:
Step-by-step explanation:
Given
m=-1
And point (2,-1)
The general form of slope intercept form of equation of line is:
Putting the value of the slope
To find the value of b, putting (2,-1) in the equation
Putting the values of b and m in equation
The required equation of line is:
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5. arc length = radius x central angle in radians
arc length = 28 x 3π/4 = 21π
answer: (21π) cm
6. You are right. Quadrant 1 features points where both the x coordinate and the y coordinate are positive. Cosine and sine are basically special coordinates.
7. We need to find the tan(2π/3). The hint is quite bad I must say because you need to find the sine and cosine of an angle to find tangent. Okay, back to the problem.
tan(2π/3) = sin(2π/3)/cos(2π/3)
We know π/3 to be a special angle on the unit circle. It has a cosine of 1/2 and a sine of . Because we know this, its partner in quadrant 2 (2π/3) will have a cosine of -1/2 and a sine of .
tan(2π/3) = ÷ -1/2= -√3
answer: -√3
8. Both angles are special angles so...
2cos(π/6) - 2tan(π/3) = 2() - 2( ÷ 1/2) = √3 - 2√3 = -√3 (ok what a coincidence)
answer: -√3
Answer:
A
Step-by-step explanation:
5. 12x9-2x5+3x3-25x+6
6. 9x12-44x8-4x3+3x2+x+2
Step-by-step explanation:
-6.5m + 14.3 < -22.75
-6.5m < -37.05
6.5m > 37.05
m > 37.05/6.5 = 5.7
m > 5.7 for this inequality to be true