Answer:
y = -x/6 + 17
Step-by-step explanation:
Step 1: find the slope
y = 6x - 1
Equation of a line is
y = mx + c.
m - slope
m = 6
Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other
m = -1/6
Step 2 : using a point slope form equation
y - y1 = m( x - x1)
( -6 , 18)
x1 = -6
y1 = 18
y - 18 = -1/6(x - (-6)
y - 18 = -1/6( x + 6)
y - 18 = -x - 6 / 6
y = (-x - 6)/6 + 18
LCM = 6
y = (-x - 6 + 108)/6
y = -x + 102 / 6
y = -x/6 + 102/6
y = -x/6 + 17
The equation of the line is
y = -x/6 + 17
Answer:
The perimeter of the figure as a function of the number of triangles is 
.
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle (
), the total perimeter is (
).
ii) For two triangles (
), the total perimeter is (
)
iii) For three triangles (
), the total perimeter is (
)
iv) For four triangles (
), the total perimeter is (
)
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is .
<span>((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX = (x^2 + 2x delta x + (delta x)^2 + x + delta x - x^2 - x) / delta x = delta x (2x + delta x + 1) / delta x = 2x + delta x + 1
Therefore, </span>Lim as x tends to 0 of <span>((x + delta X)^2 + x + deltaX - (x^2 + x)) / deltaX</span> = 1 + delta x
Y₂-y₁ ÷x₂-x₁ =
(7.5 - 24) ÷ (36-5) =
-16.5 ÷ 31 = -16.5/31 ≈ -0.5322480
Or as a fraction: -33/62
