Answer:
A
Step-by-step explanation:
Given
4 - t = 3(t - 1) - 5 ← distribute and simplify right side
4 - t = 3t - 3 - 5
4 - t = 3t - 8 ( subtract 3t from both sides )
4 - 4t = - 8 ( subtract 4 from both sides )
- 4t = - 12 ( divide both sides by - 4 )
t = 3
Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is

Where,
is the point on the plane and
is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is





Therefore, the equation of the plane is
.
Answer:
It would be B & E
Step-by-step explanation:
Answer:
Haeather ran at a speed of 5 miles per hour.
Step-by-step explanation:
Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:
48/4 = 12
Thus, Haeather ran 1 mile every 12 minutes.
60/12 = 5
1 x 5 = 5
Therefore, Haeather ran at a speed of 5 miles per hour.