If the square translates to 7 units on the right and 6 units downwards, the following changes will be made:
Point S will have the coordinates of (3, -5).
Point R will have the coordinates of (-1, -5).
Point U will have the coordinates of (-1, -9).
Point T will have the coordinates of (3, -9).
According to the only answer choices in the picture, only (-5, -3) is the only point that lies on a side of the pre-image, square RSTU.
The equation that represents the scenario is 2x + 500 = 2400
The cost of one month rent is $950
She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.
let
the cost of a month rent = x
Therefore,
<h3>Total cost Equation</h3>
The cost of the one month rent can be calculated as follows:
- 2x + 500 = 2400
- 2x = 2400 - 500
- 2x = 1900
- x = 1900 / 2
- x = $950
Therefore, the equation that represent the scenario and cost of one month rent are as follows;
- 2x + 500 = 2400
- cost of one month rent = $950
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Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.
The polynomial is;. 3w³ + 22w + 24w = 5440ft³.
From the question;
- <em>Let the width = w</em>
- <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
- <em>height,</em><em> </em><em>h</em><em> = w + 6</em>
<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>
Volume = l × w × h
Therefore, Volume, V = (3w +4) × w × (w +6)
To obtain the required polynomial, we expand the expression for Volume above;
<em>V = (3w² + 4w) × (w + 6)</em>
<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>
However, the volume of the rectangular prism has been given to be 5440 cubic feet.
Therefore, the polynomial is;
3w³ + 22w + 24w = 5440ft³.
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Answer:
it is a two-dimensional shape that can be modified to form a three-dimensional shape or a solid
Step-by-step explanation:
