Answer:
C. <em>c</em> is less than zero
Step-by-step explanation:
The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.
<h3>Function transformation</h3>
The transformation of the parent function y=x^(1/n) into the function ...
f(x) = a(x +k)^(1/n) +c
represents the following transformations:
- vertical scaling by a factor of 'a'
- left shift by k units
- up shift by c units
<h3>Application</h3>
The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...
The graph says the value of c is less than zero.
__
<em>Additional comment</em>
Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...
f(x) = 2(x +3)^(1/3) -4
A^2 + b^ = c^2
c is the longest side of the triangle
a and b are the other two sides
So the given are the hypotenuse leg, and one of the other legs
So
a= ?
b= 12
c= 14
a^2+12^2=14^2
a^2+144=196
-144 -144
a^2=52
So we find the square root of 52
Which is 7.211 which you can round to 7.21 or 7.2
Answer:
2/5
Step-by-step explanation:
Answer:
Option A - 
Step-by-step explanation:
Given: The volume of a cylinder = 
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is
(1)
The formula for volume of a cylinder is
(2)
Substituting
in equation (2), we get,

Given that the cone has the same radius and height of that of the cylinder, let us substitute
in equation (1)

Thus, the volume of a cone with the same radius and height of a cylinder is
.
The distance between the points C(-3,1) and D(5,6) is 10.3 units.
<u>Step-by-step explanation:</u>
Let us consider CD is a line segment.
The point C is (-3,1) and D is (5,6).
The Cartesian formula for line is used to find the length between the CD.
Distance between two points =
.
The points are (-3,1) and (5,6).
=
.
=
=
.
=
.
=
.
=10.295 ≈ 10.3.
Distance between two points 10.3 units.