The sum of the partial fraction is 
<h3>How to express as partial fractions?</h3>
The expression is given as:
As a partial fraction, we have:
Take the LCM
This gives
2x + 4 = A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)
Expand
Further expand
Collect like terms
By comparing the coefficients, we have:
A + B + C = 0
-2A - 4B + 2C = 2
-8A = 4
Divide both sides of -8A = 4 by -8
Substitute in the other equations
1 - 4B + 2C = 2
- 4B + 2C = 1
Substitute in - 4B + 2C = 1
- 4B + 1 = 1
Subtract 1 from both sides
-4B = 0
This gives
B = 0
Substitute B = 0 in
So, we have:
, B = 0 and
The equation becomes
Evaluate
Hence, the sum of the partial fraction is
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Answer: -0.6
Step-by-step explanation:
Answer:
3.625gpm
Step-by-step explanation:
READ and divide
Answer:
x = 1.25
Step-by-step explanation:
-3x+10 = 5x-8
+3x +3x
10 = 8x - 8
+8 +8
18 = 8x
x = 18/8
x = 1 1/4 = 1.25
The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).
<h3>What is a polar coordinate?</h3>
A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
Next, we would determine the distance (r) and angle (θ) as follows:
r = √(3² + (-3)²)
r = √(9 + 9)
r = 3√2.
θ = tan⁻¹(-3/3)
θ = tan⁻¹(-1)
θ = 3π and 7π/4 (second and fourth quadrants).
Converting to degrees, we have:
θ = 135° and 315°.
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Complete Question:
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
