Answer:
Step-by-step explanation:
given polynomial is:
write similar terms together,
Hence, polynomial in standard form
A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q.
1 answer:
The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)
<h3>What is a line segment?</h3>A line segment is a straight line that passes through two given points.
The end points of the line determine how long or short a given line segment would be.
Analysis:
point Q(x, y )
x =
y =
where M :N = 4:1
x1 = 2, x2 = 4, y1 = -1, y2 = 2
x = = 12/5
y = = -2/5
In conclusion, the point Q is (12/5, -2/5).
Learn more about line segment: brainly.com/question/2437195
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The area of the surface generated by revolving the curve about the axis y = 9-x² is 12π
<h3>What is a revolution on a graph? or curve?</h3>
Surfaces of revolution are graphs of functions f(x,y) that rely exclusively on the distance from the origin of the point (x,y).
Polar coordinates (r,) are one approach to discuss such surfaces. A "surface of revolution" is formed by rotating a curve around an axis.
Consider a curve with coordinates x and z in the "x0" half of the Euclidean plane.
<h3>What is the calculation justifying the above answer?</h3>y = √(9-x²)
⇒ dy = (-2x)/2√9-x²)
= -x/√(9-x²)
Note that surface area (s) is given as:
√1 + (dy/dx)² dx
= 2
√9-x² * √[1 + (-x)/√9-x²)]dx
= 2π 3dx
= 6π [x]₋¹₁
= 6π (1-(-1)
= 6π (2)
= 12π
Learn more about revolving on a curve:
brainly.com/question/2293431
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9514 1404 393
Answer:
4mn/(3m+12)
Step-by-step explanation:
It is often helpful to factor expressions so that common factors can cancel.