Answer:
a) 
b) 
Dividing both sides by 0.448 we got:
We can appy the exponent 
in both sides of the equation and we got:
Step-by-step explanation:
For this case we know the following function:
The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.
Part a
For this case we just need to replace x = 2 gram in the function and we got:
Part b
For this case we know tha value for 
and we want to find the value of x who satisfy this condition:
Dividing both sides by 0.448 we got:
We can appy the exponent in both sides of the equation and we got:
Given that the directrix is at y = 4 and the focus is at (0, -4), then the vertex is at (h, k) = (0, 0).
p is the distance between the vertex and the focus and between the vertex and the directrix = 4 and since the focus is below the directrix, p is negative, i.e. p = -4
Equation of a parabola is given by (x - h)^2 = 4p(y - k)
Therefore, the required equation is (x - 0)^2 = 4(-4)(y - 0)
x^2 = -16y
y = -1/16 x^2
Answer:
(x + 1)² + (y - 1)² = 1.5625
Step-by-step explanation:
From the picture we see:
The radius is 5 units. Each unit is .25 so the radius is 1.25.
The centre or middle M= ( -1, 1 )
Circle with centre M and radius r :
(x - xM)² + (y - yM)² = r²
xM = -1
yM = 1
r = 1.25
(x - (-1))² + (y - 1)² = (1.25)²
(x + 1)² + (y - 1)² = 1.5625
