Answer:
The rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.
Step-by-step explanation:
To Determine:
Which rule describes this transformation?
Fetching Information and Solution Steps:
As Quadrilateral PQRS was
- translated 5 units to the right and
to create quadrilateral P′Q′R′S′.
In order to determine the rule of this transformation, we need to understand some knowledge about the translation.
- In geometry, translation is a term that is used to describe a function that moves any figure a certain distance.
- In translation, every point of the figure or object must be moved for the same distance and in the same direction.
There are some rules when translation is made on the Coordinate Plane. These rules are as follows:
- If the object is moved left and down, the rule would be (x - __, y - __). Here the blanks are the distances moved along each axis.
- A rule for a translation right and up (x + __, y + __)
- A rule for a translation right and down (x + __, y - __)
- A rule for a translation left and up: (x - __, y + __)
As Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.
Therefore, we can conclude that the rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.
Keywords: transformation rule, translation
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It would be: 30/75 = 6/15 = 2/5
So, it's reduced & most simple form is 2/5
Hope this helps!
Answer:
The proof is shown in the explanation below.
Step-by-step explanation:
Analysis:
The proof by induction focuses on n. In this case, let n = 1, and 
will be a linear operator since 
The exercise will show that 
is a linear operator on V and that 
is also a linear operator on V. This, follows that:
Cost of the spa treatment = $42
Percentage of sales tax = 6%
Percentage of tips = 20%
Normally the tips amount is calculated before adding sales tax.
Then
Amount of tips given = (20/100) * 42
= (1/5) * 42
= 8.40 dollars
Amount of sales tax taken = (6/100) * 42
= 252/100
= 2.52 dollars
Then
The total amount spent for spa treatment = (42 + 8.40 + 2.52) dollars
= 52.92 dollars
So we can see that $52.92 has been spent in total for spa treatment and this amount includes a sales tax of $2.52 and a tip of $8.40.
