Answer:
da answa iss 358
Step-by-step explanation:
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In order find the Inequalities, First we need to Find the Equations of Both the Lines.
<u>Equation of First line :</u>
It is passing through the Points (0 , 2) and (4 , 0)
⇒ Slope = 
⇒ Equation of the First Line : 
⇒ Equation of the First Line : x + 2y = 4
<u>Equation of Second Line :</u>
It is passing through the Points (1.5 , 0) and (0 , -3)
⇒ Slope = 
⇒ Equation of the Second Line : y + 3 = 2x
⇒ Equation of the Second Line : 2x - y = 3
As the Shaded Area of the First Line is away from the Origin :
⇒ x + 2y ≥ 4
As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :
⇒ 2x - y < 3
So, the System of Linear Inequalities are :
⇒ x + 2y ≥ 4
⇒ 2x - y < 3
Answer:
parallel : y = -3x + 3
perpendicular : y = 1/3x + 3
Step-by-step explanation:
rewrite 3x + y - 3 = 0
y = -3x + 3
parallel has the same slope
so
parallel : y = -3x + 3
perpendicular is negative reciprocal of the slope
so
-3x becomes 1/3x
so
perpendicular : y = 1/3x + 3
Answer:
240-60
Step-by-step explanation:
Multiply both numbers inside the parenthesis by what's on the outside
Let L and H represent length and height, respectively.
.. 20 ft = (4/5)*L
.. L = (5/4)*(20 ft) = 25 ft . . . . . . . . multiply by the reciprocal of the coefficient of L
.. H = (2/9)*(L +20 ft)
.. = (2/9)*(25 ft +20 ft))
.. = (2/9)*(45 ft) = 10 ft
The volume is the product of length, width, and height.
.. V = (25 ft)*(20 ft)*(10 ft) = 5000 ft^3