Answer:
y+4=-3(x+1)
Step-by-step explanation:
You start by calculating the slope which is y1-y2 over x1-x2, which plugging the numbers in, comes out to be -3. Then, taking the point slope formula
(y-y1=m[x-x1]), you just plug the rest of the variables in.
When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)
Therefore Option C and D is the correct answer.
<h3>What is a Quadratic Function?</h3>
The equation for a quadratic function is given by
y = a(x-h)² +k²
where (h,k) is the extreme value(vertex).
Here the equation given is
y = x²-4x +8
y = x²-4x+4+4
y = (x-2)² +4
Here the value of a = 1 , h = 2 and k = 4
The extreme value is at (2,4)
Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)
Therefore Option C and D is the correct answer.
To know more about Quadratic Function
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18 is the answer I believe hopefully this is correct
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)
Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side
