Answer:
The answer to your question is: 30 miles can the car travel.
Step-by-step explanation:
Data
gasoline used = 11 1/2 gal
distance = 345 mile-trip
distance travel with 1 gal = ?
Process
Convert 11 1/2 to a improper fraction 11 1/2 = 23/2
Rule of three
23/2 gal ----------------------- 345 miles
1 gal ---------------------- x
x = (1 x 345) / 23/2
x = 345 / 23/2
x = 690/ 23
x = 30 miles
Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
Answer:
7x^15yz
Step-by-step explanation:
7(x^14x)y · z
7(x^14+1)y · z
7x^15yz
-5-(15y-1) = 2(7y-16) - y // question
-5-15y+1 = 14y-32-y // distribute
-15y - 4 = 13y - 32 // subtract
-28y = -28 // divide
y = 1
Answer:
option B
Step-by-step explanation:
Rule:output=input -2
LEts analyze the table
we use the input and apply the rule to get the output
LEts subtract 2 from input to get the output
Input Rule (input -2 ) Output
-3 -3-2 -5
-7 -7-2 -9
6 6-2 4
Option B matches with our table
