To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.
Every linear equation has n - 1 free variables where n is the number of variables.
For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.
First, let y and z be the free variables, we first solve the linear equation for x to get:
x = 2 - y - z
Therefore , the parametric representation of the solution set is given by :
x = 2 - s -t
y = s
z = t
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Let gradient of original line = m = 1/6
Gradient of line perpendicular to this = -1/m = -6
(Gradient = slope)
Answer:
The answer is (1,0) and (2,6)
Step-by-step explanation:
y=6x-6
Pick 1 as the number for x: (6x1)-6=0
(1,0)
Pick 2: (6x2)-6=6
(2,6)
I hope this helps
First, we need to get the total area of the rectangular pool.
Area = l * w
Area = 20 ft * 50 ft
Area = 1000 ft^2
Then the deck is 456 ft^2 with the width of 20ft, the same as the rectangular pool.
Area = l * w
456 = l * 20
l = 456 / 20
l = 22.8 ft.
So the walkway is 22.8ft wide.
The coordinate of point D will be ( -0.5, 0.25 ).
<h3>
What is coordinate geometry?</h3>
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.
The coordinates of point D will be:-
D = ( 1 / n ) C
D = ( 1 / n ) ( -2.5 , 1.25 )
D = ( 1 / 5 ) ( -2.5 , 1.25 )
D = ( -0.5 , 0.25 )
Therefore, the coordinate of point D will be ( -0.5, 0.25 ).
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