<span>1) Find an equation of the plane. The plane that passes through the point (2, 3, 4) and contains the line x = 4t, y = 2 + t, z = 3 − t 2) Find an equation of the plane. The plane that passes through (6, 0, −3) and contains the line x = 2 − 4t, y = 1 + 5t, z = 2 + 2t 3) Find an equation of the plane. The plane that passes through the point (1, −1, 1) and contains the line with symmetric equations x = 2y = 5z 4) Find the point at which the line intersects the given plane. x = 2 − t, y = 1 + t, z = 3t; x − y + 5z = 14 5) Find the point at which the line intersects the given plane. x = 2 + 2t, y = 3t, z = 4 − 2t; x + 2y − z + 2 = 0 6) Find the point at which the line intersects the given plane. x = y − 2 = 2z; 2x − y + 2z = 2</span>
Answer:
Step-by-step explanation:
From the given information:
Let X represent the amount of the stock that goes up in the first period; &
Let Y denote the cumulative amount that goes up in the first three periods.
Then,




∴

Answer:
The distance to his office is 2.5 miles.
Step-by-step explanation:
Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.
To find : What is the distance in miles to his office?
Solution :
The relationship between distance, speed and time is

The speed of bicycle is 10 miles per hour.
Time taken is 15 minutes.
Converting into hours,
1 hour = 60 minutes
1 minute =
hours
15 minute =
hours
15 minute = 0.25 hours
Substitute the value sin the formula,


Therefore, The distance to his office is 2.5 miles.
8 Is total of a whole piece of a whole. So 3 were token from the whole.
Step-by-step explanation:
1/2 - 1/6 = 3/6 - 1/6 = 2/6
Hope this helps!!!