Answer:
x = 3/2
Step-by-step explanation:
We can use ratios to solve
6 6+x
-------- = -----------
4 5
Using cross products
6*5 = 4 * (6+x)
30 = 24 + 4x
Subtract 24 from each side
30 -24 = 24+4x-24
6 = 4x
Divide each side by 4
6/4 = 4x/4
3/2 = x
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
Answer:
A, D, E
Step-by-step explanation:
Time is a function of temperature because there are no points where the x-value has more than one y-value.
There are two points where the temperature reaches 74 degrees.
Between 5 and 9 the temperature did not change.
Answer:
36 Hope this helps Im so sorry if this is wrong.
Step-by-step explanation:
Answer:
Angular velocity: 
(
)
Linear velocity: 
(
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (
), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that 
and 
, then the linear and angular velocities of the gear are, respectively:
()
()
