-2/1 is the slope
-5 is the y intercept
The given plane has normal vector
Scaling <em>n</em> by a real number <em>t</em> gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation
This line passes through (2, 1, 1) when <em>t</em> = 0, and the line intersects with the plane when
which corresponds the point (3, -1, 1) (simply plug <em>t</em> = 1 into the coordinates of 
).
So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):
Answer:
Mean=43 Median=44
Step-by-step explanation:
To find the median add up all the numbers and divide by however many numbers there are. To find the median look at the middle number if there is not one then add the two in the middle and divide by two. Hope this helps
Answer:
2 - 2 cos²x = sin x
2 = sin x + 2 cos² x
0 = -2 + sin x + 2(1 - sin² x)
0 = -2 sin² x + sin x + 2 - 2
0 = 2 sin² x - sin x 0 = sin x (2 sin x - 1)
sin x = 0 v sin x = 0.5
x10° + k.360° x1 = 0°, 360°
x2 = (180° - 0°) + k.360°
x2 = 180°
x3 = 30° + k.360°
x3 = 30°
x4 = (180° -30°) + k.360° x4 = 150°
HP: {x | 0°, 30°, 150°, 180°, 360°)
Answer and Step-by-step explanation:
a. The strings {a, b, c} with at least one a and at least one b.
Solution: ∑ = {a, b, c}
where
(a +b +c)(a (a +b +c)*b + b (a +b +c) a (a +b +c)*
b. The set of 0’s and 1’s string whose tenth symbol from the right end is 1.
Sol: (0+1)*1(0+1)9
c. The set of 0’s and 1’s string with at most one pair of consecutive 1’s.
sol: (0+10)(11+∑)(0+10)
