Answer:
Step-by-step explanation:
The rate if increase of side of square is 7cm/s
dL/dt=7
At what area is the area increasing
dA/dt=?
Areas of square is give to be 36cm²
Analysis
Let L be the length of each side of the square, a square has equal side.
Area of square is give as L²
Area=L²
L²=36
i.e L=√36
L=6cm
Therefore at t=0 L=6cm and A=36cm²
A=L²
dA/dL=2L
Given that, dL/dt=7
Multiply the two differential together
dA/dt= dA/dL × dL/dt
dA/dt= 2L × 7
dA/dt= 2×6×7
dA/dt= 84cm²/s
The rate of increase of the square is 84cm²/s
Answer:
1/6
Step-by-step explanation:
So first you want to get the common denominators. So you want to times 1/2 by three which gives you 3/6. So if you subtract 3/6 from 5/6 you get 2/6 and if you subtract 1/6 from 2/6 you get 1/6.
Answer:
The value of x , y using substitution method is 2 , 5
Step-by-step explanation:
Given as :
The two linear equation as
6 y - 4 x = 22 .......1
y + 2 x = 9
Let y = 9 - 2 x .......2
Now, using substitution method
Substitute the value of y from eq 2 into eq 1
i.e 6 × (9 - 2 x) - 4 x = 22
Or, 54 - 12 x - 4 x = 22
Or, 12 x + 4 x = 54 - 22
Or, 16 x = 32
∴ x = 
i.e x = 2
Now, Put the value of x into eq 2
∴ y = 9 - 2 x
So, y = 9 - 2 × 2
Or, y = 9 - 4
i.e y = 5
So, The value of x , y = 2 , 5
Hence, The value of x , y using substitution method is 2 , 5 Answer
Answer:
28, 35, 43
Step-by-step explanation:
8-7 = 1
10-8 = 2
13-10 = 3
As you can see you need to add one extra numbers and the sequence goes on