Answer:

Step-by-step explanation:
Recall the formula for the volume of a cylinder:

where R is the radius of the cylinder's base, and H is the cylinder's height.
Therefore, in our case the volume becomes:

Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The functions are given as follows:
- Parent:
.
- Translated:
.
The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).
More can be learned about translation concepts at brainly.com/question/4521517
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Let x and x+2 the 2 odd consecutive numbers. Now translate from English language to Math's:
x+53 = 4(x + 2), Expand :
x+53 = 4x + 8
53 - 8 = 4x - x
45 = 3x and x = 15. So the 1st is 15 and the 2nd is 17
Answer:
68x + 36y
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define expression</u>
(19x + 4y) + (49x + 32y)
<u>Step 2: Simplify expression</u>
- Combine like terms (x): 68x + 4y + 32y
- Combine like terms (y): 68x + 36y