Step-by-step explanation:
4x² + 11x - 3 = 0
(4x-1)(x+3) = 0
x = 1/4, -3
F is proportional to 1/x^2
distance = x
A reduction of 25 percent = 0.75x
Let’s put this in place of x
F = 1/(0.75x)^2
And simplify
F = 1/0.5625x^2
So you need to find the percentage increase from 1/x^2 to 1/0.5625x^2
So what does 1/x^2 multiply by to give 1/0.5625x^2
Written as an equation it is y/x^2 = 1/0.5625x^2
Multiply both sides by x^2
y = 1/0.5625
y = 1.778 (rounded to 3 decimal points)
So the decimal multiplier is 1.778 and so the percent increase is approximately 77.8%
Answer:
Equilateral Triangle
Side a = 1
Side b = 1
Side c = 1
Angle ∠A = 60° = 1.0472 rad = π/3
Angle ∠B = 60° = 1.0472 rad = π/3
Angle ∠C = 60° = 1.0472 rad = π/3
C=60°B=60°A=60°b=1a=1c=1
Area = 0.43301
Perimeter p = 3
Semiperimeter s = 1.5
Height ha = 0.86603
Height hb = 0.86603
Height hc = 0.86603
Median ma = 0.86603
Median mb = 0.86603
Median mc = 0.86603
Inradius r = 0.28868
Circumradius R = 0.57735
Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]
Centroid: [0.5, 0.28868]
Inscribed Circle Center: [0.5, 0.28868]
Circumscribed Circle Center: [0.5, 0.28868]
Step-by-step explanation:
