Answer:
<h3>p = 131.25</h3>Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
<h3>So the formula for the variation is
<h2>when
T = 500
Substitute it into the above formula
That's
Simplify
The final answer is
<h3>p = 131.25</h3>Hope this helps you
Answer:
(1) The slope of the line segment AB is 1.
(2) The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is (5, 7)
(4) The slope of a line perpendicular to the line AB is-0.75
Step-by-step explanation:
The coordinates of the line segment AB are;
A(2, 3) and B(8, 11)
(1) The slope of a line segment is given by the following equation;
Where;
(x₁, y₁) and (x₂, y₂) are two points on the line segment
Therefore;
The slope, m, of the line segment AB is given as follows;
A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)
The slope of the line segment AB = 1.
(2) The length, l, of the line segment AB is given by the following equation;
Therefore, we have;
The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is given as follows;
Therefore;
The coordinates of the midpoint of AB is (5, 7)
(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;
Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1. is given as follows;
The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.