F'(x)= 4 (2x+3)^3 times 2 = 8 (2x+3)^3 .
Answer:
O = (3,3)
Explanation:
The <em>altitude</em> of a triangle is the perpendicular from a vertex to the opposite side.
The orthocentre (O) of a triangle is the point where the three vertices intersect.
We must find the equations for only two of the altitudes, because the third will also intersect at that point.
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Your three points make a right triangle.
The altitude of B is side AC.
The altitude of C is sde AB.
Their point of intersection at A (3,3) is the orthocentre of thetriangle.
Ok I will add this in just a sec lemme do the work first
Answer:
Correct option: A
Step-by-step explanation:
To find the equation of the curve related to x and y, we can isolate t in the first equation and then use the value of t in the second equation:
x = 3 + t -> t = x - 3
y = t^2 - 4 -> y = (x-3)^2 - 4 = x^2 - 6x + 9 - 4 = x^2 - 6x + 5
Looking at the curve, we know it is a parabola. To find its vertex, we can use the formula:
x_vertex = -b / 2a
x_vertex = 6 / 2 = 3
To find y_vertex, we use x = x_vertex in the equation:
y_vertex = 3^2 - 6*3 + 5 = -4
So the vertex is (3, -4)
Looking at the first equation, we can see that an increase in t causes an increase in x, so we know that the parabola is traced from left to right for increasing values of t.
Correct option: A
Answer:
It is a function because the input values are different.
