Answer:
_______________________________________________
1)
72
cm² / min. ;
_______________________________________________
2)
192
cm² / min. _______________________________________________Explanation:____________________________________________ Area of a circle: A =

r² ;
Rate of change of Area is: da/dt = 2

r (dr/dt) ;
Given: dr/dt = 3 cm / min.
______________________________________________________ Problem 1)____________________________________________________________dA/dt = 2

*(12 cm)*(3 cm/ min) =
72
cm² / min. ;
____________________________________________________________ Problem 2)____________________________________________________________dA/dt = 2

*(32 cm)*(3 cm/ min) =
192
cm² / min._____________________________________________________________
Answer:
The answer to your question
a) Values excluded = -2, 0
b) solutions = -2/3, 2
Step-by-step explanation:
Equation

a) x is restricted when the denominators equal zero, so let's get them.
2x + 4 = 0 2x = 0
2x = - 4 x = 0 / 2
x = -4 / 2 x = 0
x = -2
x must be different to -2, 0
b) 

4x² = (x + 2)²
4x² = x² + 4x + 4
4x² - x² - 4x - 4 = 0
3x² - 4x - 4 = 0
3x² - 6x + 2x - 4 = 0
3x(x - 2) + 2(x - 2) = 0
(x - 2)(3x + 2) = 0
x₁ - 2 = 0 3x₂ + 2 = 0
x₁ = 2 x₂ = -2/3
Answer:
No; she cannot
Step-by-step explanation:
3/4 is equal to 6/8
6/8 + 3/8= 9/8
9/8= 1 1/8 cups
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°