Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2
)
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Answer:
a. 
b. 
Step-by-step explanation:
a.


Where, 


Where, 

Volume of the shaded figure = 
b.
expressed in factored form:
Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

Answer:
0.0098 < 0.01935 < 0.02 < 0.14999 < 0.1589
Answer:
60 people
Step-by-step explanation: Multiply 20 by 3 and you will get 60, which is the total combonation of people.