Answer:
h(x) = (1/2)(x - 3)^2 + 2
Step-by-step explanation:
Start with y = x^3.
Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.
Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.
Last, starting with your g(x) = (1/2)(x - 3)^2, add 2
You will end up with h(x) = (1/2)(x - 3)^2 + 2.
The perimeter of the woods is 26 miles if each grid represents one mile in the figure.
<h3>What is the area of the rectangle?</h3>
It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know the perimeter of the rectangle = 2(length + width)
As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.
Let's suppose each grid is expressing one mile.
So the length of the rectangle = 9 miles
The width of the rectangle = 4 miles
The perimeter of the woods = 2(9+4) = 26 miles
Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.
Learn more about the rectangle here:
brainly.com/question/15019502
#SPJ1
Answer:
5/8
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 1 1/4 and the smallest number is 5/8
1 1/4 - 5/8
Getting a common denominator
1 2/8 - 5/8
Borrowing from the 1 in the form of 8/8
8/8+2/8 - 5/8
10/8 - 5/8
5/8
<span>Simplifying
X2 + -4 = 0
Reorder the terms:
-4 + X2 = 0
Solving
-4 + X2 = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + X2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + X2 = 0 + 4
X2 = 0 + 4
Combine like terms: 0 + 4 = 4
X2 = 4
Simplifying
X2 = 4
Take the square root of each side:
X = {-2, 2}</span>
is your teacher trying to give you a stroke???
Step-by-step explanation:
