First side is = x
Second side is = 3x-3
Third side is = 44x - 66
Perimeter = Sum of sides
P = x + 3x + 44x -66 -3
P = 48x - 69
Answer:
97,656,250
Step-by-step explanation:
The first term, a(1), is 10. The next is 5 times greater. And so on. Thus, the common ratio is 5, and the general formula for this sequence is
a(n) = a(1)*5^(n -1).
Therefore,
a(11) = 10*5^(11 - 1) = 10*5^10 = 97,656,250
Given:
Width of a garden = 10 feet
Length of the garden = 14 feet
Area of the garden and the walkway together = 396 square feet.
To find:
The width of the walkway.
Solution:
A cement walkway is added around the outside of the garden.
Let x be the width of the walkway.
The width of the garden with walkway = 10+2x
The length of the garden with walkway = 14+2x
Area of a rectangle is

Area of garden and the walkway together is




Divide both sides by 4.



Splitting the middle term, we get



Using zero product property, we get


Width of walkway cannot be negative. So, x=4.
Therefore, the width of the walkways is 4 feet.
A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:
g(x) = 2*f(x + 4) - 1
<h3>
How to write the given transformation?</h3>
For a general function f(x), a vertical stretch of scale factor K is written as:
g(x) = K*f(x).
<u><em>Horizontal translation:</em></u>
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
<u><em>Vertical translation:</em></u>
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2*f(x)
Then we translate it 4 units left:
g(x) = 2*f(x + 4)
Then we translate 1 unit down:
g(x) = 2*f(x + 4) - 1
This is the equation for the transformation.
If you want to learn more about transformations, you can read:
brainly.com/question/4289712
Answer:
1
Step-by-step explanation:
The exprssion to be simplified is,



=1