3.7 repeating (only 7 is repeating) as a mixed number
1 answer:
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Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Answer: y = -3x + 10
Step-by-step explanation:
Using the formula for finding the equation of line ;
y - = m ( x -
)
= 4
= -2
m = -3
Substituting into the formula , we have
y - (-2) = - 3 ( x - 4 )
y + 2 = -3x + 12
writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is
y = -3x + 12 - 2
y = -3x + 10