Distance formula is SquareRoot of (x2-x1)^2 + (y2-y1)^2
= SQRT( (8-0)^2 + (-8-7)^2 )
=SQRT(64 +225)
=SQRT(289)
= 17
First you have to get the equation into slope/intercept format: y = mx + b

So the slope m = 2, and the y-intercept b = -1.
b tells you where the line intersects the y axis. The slope is rise (vertical distance) over run (horizontal distance). I have attached my best attempt at drawing this without graph paper. The dotted line represents the inequality, and the solution set includes the values above the line which is why it is shaded. Hope this helps!
Answer:
1
Step-by-step explanation:
i²⁵⁶ is the equivalent of (i²)¹²⁸.
(i²)¹²⁸ = (-1)¹²⁸ = 1.
Answer:
671/1296
The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ . 517.
Step-by-step explanation:
First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .
So for the given question, reference angle of 11pi/6 is

And that's the required reference angle .