Answer:
(2) is the correct answer
Step-by-step explanation:
if you multiply the given equation by 3 you get answer (2):
3(4x - 3y) = 3(12)
12x - 9y = 36
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer:
12
Step-by-step explanation:
You set up cross multiplication 3/4 x 9/x, you go 4x9=36 divided by 3 equals 12
Answer:
The Answer is: Perimeter = 39.12
Step-by-step explanation:
Given: area is 56.96 m^2
Given: length is 16m.
Find Width.
Equation:
Length x Width = Area
Solve for Width, w.
16 x w = 56.96
w = 56.96/16 = 3.56.
Perimeter all the sides added together:
P= 2l + 2w
= 2(16) + 2(3.56)
= 32 + 7.12
= 39.12 m, perimeter
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