Answer:
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Step-by-step explanation:
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F(x) / g(x) = (2x + 3)(x-2)/(x-2)(x+2) = (2x+3)/(x+2)
Answer:
y = 2/3x - 1
Step-by-step explanation:
Find the slope:
2y = 3x - 5
2/2y = 3/2x - 5/2
y = 3/2x - 5/2
Slope is 3/2
In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.
Perpendicular equation:
y = 2/3x + b
b is going to be equal to the y intercept of the point they gave us, so -1.
Answer: y = 2/3x - 1
Answer:
x=4+√73 or x=4−√73
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−8x−48=9
Step 2: Add 48 to both sides.
x^2−8x−48+48=9+48
x^2−8x=57
Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.
Add 16 to both sides.
x^2−8x+16=57+16
x^2−8x+16=73
Step 4: Factor left side.
(x−4)^2=73
Step 5: Take the square root.
x−4=±√73
Step 6: Add 4 to both sides.
x−4+4=4±√73
x=4±√73
x=4+√73 or x=4−√73
Answer:
x=4+√73 or x=4−√73
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<span>------------------------------------
</span>Find Radius
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Radius = Diameter ÷ 2
Radius = 27 ÷ 2
Radius = 13.5 cm
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Find Area
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Area of circle x = πr²
Area of circle x = 3.14 x 13.5²
Area of circle x = 572.265 cm²
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Find Radius
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Radius = Diameter ÷ 2
Radius = 12 ÷ 2
Radius = 6 cm
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Find Area
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Area of circle y = πr²
Area of circle y = 3.14 x 6²
Area of circle y = 113.04 cm²
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Compare the area
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572.265 - 113.04 = 459.23 cm²
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Answer: Circle x is 459.23cm² greater than circle y.
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