The solution is Option A. The area of a circle as a function of the radius
The phrase which describes a non linear function is the area of a circle as a function of the radius
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
a)
The area of a circle as a function of the radius
So , the area of the circle A = πr² , where r is the radius of the circle
Now , the linear equations in one variable is an equation which is expressed in the form of ax + b = 0
So , the r² term in the area of circle does not make it a linear function
Hence , the non linear function is area of a circle as a function of the radius
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The height of the triangle can not be more than 15 feet.
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Given the triangle,
Base = 16 feet.
Area = 120 feet²
Since the area of a triangle is given as (1/2) × base × height.
So,
Area = (1/2) × base × height.
120 = (1/2) × 16× height
Height = 120/8 = 15 feet
Hence "The height of the triangle can not be more than 15 feet".
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The height is 15 feet.
0.5xbxh<_120 (equate formula for area of triangle to 120)
0.5x16xh<_120
16xh<_240 (120 divided by 0.5)
h<_15 (240 divided by 16)