Answer:
a. yes, because there is a straight line that passes through the origin (0, 0). b. no, there is a straight line but it does not pass through the origin.
Step-by-step explanation:
Answer: A squared (written as 2 in exponent place) + B squared = C Squared
Step-by-step explanation:
This is known as Pythagorean theorem
Answer:
The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute
Step-by-step explanation:
The given parameters are;
When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute
Therefore, we have;
dr/dt = 2 in./min
The area of the circular surface of the dough, A = π·r²
The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;
dA/dt = d(π·r²)/dt = π·2·r·dr/dt
Where;
r = 12 in.
dr/dt = 2 in./min
Substituting, we have;
dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.
The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.
Answer:
percentage decrease is 70%
Step-by-step explanation:
To find percentage decrease of 2 quantities, we have to find the difference of the quantities and divide by the original quanity. Then we multiply by 100 to find the PERCENTAGE.
We will use formula:
Where
"New" is the latest quantity
"Old" is the first (previous) quantity
Here, New = 5.3 & Old = 17.71
We substitute into formula and find:
So we can say that the percentage decrease is 70%
The two equations that have been given in the question are:
x - y = 11
2x + y =19
Now we will take the first equation.
x - y = 11
x = 11 + y
Now replacing the value of x in the second equation we get
2x + y = 19
2(11 + y) = 19
22 + 2y = 19
2y = 19 - 22
2y = -3
y = - 3/2
Now putting the value of y in the first equation we get
x - y = 11
x - (-3/2) = 11
2x + 3 = 11 * 2
2x + 3 = 22
2x = 22 -3
2x = 19
x = 19/2
So the value of x is 19/2 and the value of y is -3/2.