Answer:
y - Q = -5/2(x - P)
Step-by-step explanation:
The equation of a line in point slope form is expressed as y - y0 = m(x-x0)
(x0, y0) is the point
m is the slope
Given the equation
y = 2/5x− 4.
Slope m = 2/5
Slope of the perpendicular line = -1/(2/5) = -5/2
Point;
x0 = P
y0 = Q
Substitute into the formula;
y - y0 = m(x-x0)
y - Q = -5/2(x - P)
This gives the required equation
Answer:
D
Step-by-step explanation:
A <u>linear inequality</u> is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <, >, ≤, ≥.
Consider all options:
A. The inequality
is not linear linear inequality, because x is in the left part denominator and in the right part numerator.
B. This option shows linear equation, not inequality.
C. This option shows quadratic equation, not linear inequality.
D. This option shows linear inequality 
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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