Answer:
x < -11 or x ∈ (-∞, -11)
Step-by-step explanation:
4x + 6 < 3x - 5
<=> 4x - 3x < -5 - 6
<=> x < -11
The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:
Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet
Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:
Thus angular velocity is 16 radians per second
Answer:
• 2/3|2 -x| = 1/15
• |2 -x| = 1/10
• 1/5 +|4/3 -2/3x| = 4/15
Step-by-step explanation:
Starting with the given equation, subtract 1/5 = 3/15.
(2/3)|2 -x| = 4/15 - 3/15
(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice
Now, multiply by 3/2.
|2 -x| = 3/30
|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice
___
If you decide to distribute the coefficient 2/3 instead, you have
1/5 + |2·2/3 -x·2/3| = 4/15
1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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13,501 rounded to the nearest 10,000 is 10,000.
