The length of rectangular garden is 7 feet longer than the width. If the area of the garden is 18 square feet, find the length and width of the garden. The length is ft The width is ft

The length is 9 ft and the width is 2 ft

Step-by-step explanation:

Rectangle:

Has two dimensions: Length(l) and width(w)

The area is: A = l*w

In this question:

A = 18.

The length of rectangular garden is 7 feet longer than the width.

This means that l = 7 + w.

So

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

In this question:

So

Then

A dimension cannot be negative, so the width is 2 feet, that is, w = 2.

l = 7 + w = 7 + 2 = 9 ft

The length is 9 ft and the width is 2 ft

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: