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:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
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Answer:
Option B.
Step-by-step explanation:
Let as consider the given equation:
It can be written as
On comparing both sides, we get
Multiply both sides by 5.
Divide both sides by 2.
Therefore, the correct option is B.
Estimate: 4x980= 3920
Actual Product: 3916
Answer:
- Architect - $83000
- Lawyer - $128000
Step-by-step explanation:
- Salary of a lawyer = l
- Salary of an architect = a
<u>According to the question we have:</u>
- l = 2a - 38000
- l + a = 211000
<u>Substitute l into the second equation and solve for a:</u>
- 2a - 38000 + a = 211000
- 3a = 211000 + 38000
- 3a = 249000
- a = 249000/3
- a = 83000
<u>Find the value of l:</u>
- l = 211000 - 83000
- l = 128000