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:
You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.
Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.
so, 41 ^ 2 = 40 ^ 2 + h ^ 2
41 ^ 2 = 1681 40 ^ 2 = 1600 Therefore h ^2 must be equal to 81. This means that h = 9.
The height is 9 inches.
Step-by-step explanation:
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~Alex
False.
e is an irrational number, then it cannot be the ration of two integer numbers.
That expression is only an approximation to the value of e.
The center of the circle that circumscribe about DABC is 
.
A circle can be modelled after a expression of the form:
(1)
We can determine all coefficients by knowing three <em>distinct</em> points on plane.
If we know that 
, 
and 
, then the solution of the system of linear equations is:
(2)
(3)
(4)
Now we proceed to <em>complete</em> squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:
The center of the circle that circumscribe about DABC is .
To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983
My prediction is that she didn't pick green any of the times when im assuming that she only picked from the bag 50 times.
plus if you add
13 blue
18 green
19 pink
you get 50 which is the number she put the marbles back
