Answer: x = -6
Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.
y = x - 6
y = 2x
2x = x - 6 (substitute the y value into the equation)
1x = -6 (subtract x on each side)
x = -6 (1x is basically saying x so you do not need to divide)
Answer:
21cm
Step by step:
Scale : 9cm :12m
Therefore 1m = 9/12 cm
28m= 9/12 *28 = <u>21 cm</u>
This is equivalent to finding a function g in which

.
We simply reverse the actions of the initial function by adding 81 back and taking the square root. Therefore,

.
Answer:
(-2, -4.5)
Step-by-step explanation:
We can solve this equation with substitution.
x=2y+7
3x-2y=3
We can "substitute" 2y+7 for x into the second equation:
3(2y+7)-2y=3
Distribute the 3
6y+21-2y=3
Add like terms
4y+21=3
Subtract 21 from both sides
4y=-18
Divide both sides by 4 to isolate y
y=-4.5
Plug -4.5 back in for y:
x=2(-4.5)+7
x=-9+7
x=-2
(x,y)=(-2,-4.5)
Answer:
512 mph
Step-by-step explanation:
The relevant relation is ...
speed = distance/time
speed = 1792 mi/(3.5 h) = 512 mi/h
The plane's average rate of speed should be 512 miles per hour.