The triangle KLM is rotated about origin by 90 degrees to form the triangle K'L'M'.
<h3>What is a transformation of geometry?</h3>
A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry.
The triangle KLM is rotated about origin by 90 degrees to create the triangle K'L'M'.
The diagram is given below.
More about the transformation of geometry link is given below.
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The piecewise function is basically the result of two different functions combined together. If x is 0 or larger, then h(x) = x+4. Otherwise, if x < 0, then h(x) = -x-4
No matter what number you pick for x, the h(x) function will be used in some way. So the domain is the set of all real numbers. To write this in interval notation, we write 
which means we start off at negative infinity and go to positive infinity. This is basically saying "the entire real number line". Since we can't actually reach either infinity, we always use parenthesis with them. <u>Never</u> use square brackets with either infinity
From the graph (see attached image below), we see that (0,-4) is the lowest point. This means y = -4 is the smallest y output possible, though we can't actually reach it because of the open circle at (0,-4). We can get any other larger y value. So the range is therefore: 
meaning we start at -4 and head off to positive infinity. The curve parenthesis next to -4 the reader "exclude -4 as part of the range". There is an open hole or gap here. Another way to state the range is to write y > -4
Answer:
30 square feet.
Step-by-step explanation:
We have to find the main area of the rectangle to determine the changes.
We know, Area of a rectangle = Length × Width
Given,
Length = 12 feet
Width = 5 feet
Therefore, the area of the rectangle = (12 × 5) Square feet.
The area of the rectangle = 60 square feet.
Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.
If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.
The new area of that rectangle = (15 × 6) square feet = 90 square feet.
The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.
Answer: We are asked to evaluate 1/9 of 3/8. This means we have to multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.
Step-by-step explanation:
4 can go into 72 18 times
