Answer:
n = 22
Step-by-step explanation:
Since they are vertical angles they are the same.
Therefore you can put together this equation:
2n - 8 = 36
Add 8 to both sides
2n = 44
Divide by 2
n = 22
The point (8,2,9) is in the first octant.
The closest distance from the coordinate planes is the value y=2, which will therefore be the maximum radius of the required sphere.
The standard equation of a sphere with radius r and centre (u,v,w) is given by
(x-u)^2+(y-v)^2+(z-w)^2=r^2
Substituting r=2, u=8, v=2, w=9, we get the equation of the required sphere
(x-8)^2+(y-2)^2+(w-9)^2=2^2
Answer:
Step-by-step explanation:
2(1+5b-4a)
<u>Answer</u>:
There is enough fuel for the trip and the relative distance is 19 miles
<u>Explanation</u>:
Given Sedan drives
10 miles north
15 miles east
13 miles south
15 miles west
22 miles north
Then total distance = 10 + 15 + 13 + 15 + 22 = 75 miles
There are 5 gallons of gas left and sedan gets 20 miles per gallon
20 miles = 1 gallon
75 miles = 75/20 = 3.75 gallons
Gas left = 5 – 3.75 = 1.25 gallon
So, there is enough fuel for the trip
Relative distance = 10 (north) + 15 (east) – 13 (south) – 15 (west) + 22 (north) = 19 miles
