Answer:
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Answer:
Take out the area of the full circle first:
A= pi r^2
A= 3^2 x pi
A= 28.274 cm3
Area of smaller cirlces:
A= pi r^2
A= 1^2 x pi
A= 3.14159
Multiply by 2 as 2 circles: 6.28318
Substract unshaded from shaded: 28.274-6.28318
Area of shaded is 21.99082 cm3
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse

3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
It is helpful to first plug this in to point-slope form (note that there are other ways to do this).
Using the form

, you get

. You can simplify this to get

.
Answer choice A
Answer:
Proof below.
Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:
<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:







Therefore, the exact solutions to the given <u>quadratic equation</u> are:

Learn more about the quadratic formula here:
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