Question 1:
For that point where all the lines intersect to be an incenter, the following must be true
4x - 1 = 6x - 5
Subtract both sides by 6x
-2x -1 = -5
Add both sides by 1
-2x = -4
Divide both sides by -2
x= 2
Question 2:
Plug in x=2 into any of the two equations.
You get 7.
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The answer is 1.5 or 1 1/2.
here is the how you get this answer.
1: Cross Multiply (1.2)(60)=x
2: divide x by 48
3: you should get 1.5 or 3/2
BTW x is equal to 72
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer: Graph first and fourth.
Step-by-step explanation:
If a function is reflected through line y=x,, we obtained an inverse function of that function.
In first graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
In second graph,
The function is shifted horizontally,
This is why we did not get an inverse function.
In third graph,
The function is reflected through x-axis,
This is why we did not get the inverse of the function.
In fourth graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
Answer:
62
Step-by-step explanation:
