Answer:

Step-by-step explanation:
The equation of line in the form .
y = mx + c
Where m is the slope and c is the y- intercept .
As given
The lines y=3x-1 and y=ax+2 are perpendicular .
Here 3 is slope for equation of line y=3x-1 and a is slope for equation of line
y=ax+2 .
Now by using properties of the perpendicular lines property .
When two lines are perpendicular than slope of one line is negative reciprocal of the other line .
Thus

Therefore 
D. data collection
Simply the act of collecting data from sample
Given is :
The area of the rectangular patio is = 130 square feet
Let the width of the patio be = x feet
As length is 3 feet more than the width, so the length is = x+3 feet
Now area of rectangle is = length * width






This gives either x-10=0 or x+13=0
x-10=0 ; x=10
x+13=0 ; x=-13 (neglect this negative value)
So, the width of the patio is = 10 feet
Length = 10+3 = 13 feet
Step-by-step explanation:
1.5/4x-1=0.4/x+4
We move all terms to the left:
1.5/4x-1-(0.4/x+4)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: x+4)!=0
x∈R
We get rid of parentheses
1.5/4x-0.4/x-4-1=0
We calculate fractions
(1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0
We add all the numbers together, and all the variables
(+1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0
We add all the numbers together, and all the variables
(+1.5x)/4x^2+(-0.4*4x)/4x^2-5=0
We multiply all the terms by the denominator
(+1.5x)+(-0.4*4x)-5*4x^2=0
Wy multiply elements
-20x^2+(+1.5x)+(-0.4*4x)=0
We get rid of parentheses
-20x^2+1.5x-0.4*4x=0
Answer:
Step-by-step explanation:
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