Answer:
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
Therefore, the shortest distance from the point to the plane is
Answer:
117.33333 feet per second
Step-by-step explanation:
Answer:
a) -10 b) 7
Step-by-step explanation:
a) 2(x+ 3) = x - 4
2x + 6 = x - 4
2x - x = -6 - 4
x = -10
b) 4(5x - 2) = 2(9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 14/2
x = 7
Answer:
175 cm³
Step-by-step explanation:
Volume = área * thick
Volume = 35cm² * 5cn
Volume = 175 cm³
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
