Answer:
wait what do you need help with
Step-by-step explanation:
Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ 
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
Answer:
The area of the original rectangle = 189 sq ft.
Step-by-step explanation:
Let, the width of the rectangle = m feet
So, the length of the rectangle = (2 m + 3) ft
Now, new width w' = (m + 4)
Perimeter of new rectangle (P') = 68 ft
Perimeter of a rectangle = 2 (LENGTH + WIDTH)
⇒68 ft = 2( L + W')
or, 68 ft = 2 [( 2m + 3) + (m + 4)]
or, 2 (3m + 7) = 68
or, 3m + 7 = 68/2 = 34
⇒ 3m = 34 - 7 = 27
⇒ m = 27/3 = 9
or, m = 9 ft
Hence, the original width of the rectangle = 9 ft
Original Length of the rectangle = 2m + 3 = 2(9) + 3 = 21 ft
Now, Area of the Rectangle = LENGTH X WIDTH
= 21 ft x 9 ft = 189 sq ft
Hence,the area of the original rectangle = 189 sq ft.
To find the inverse of f(x), you solve for the independent variable, x, and then swap the variable labels. The reason for doing so is easily seen if one remembers what an inverse function really is. The inverse function will produce the opposite coordinate as the parent function. If f(x)=(x,y), f^-1(x)=(y,x), so the inverse function simply creates the inverse of all of the points that exist for f(x)...with that out of the way, let y=f(x), then:
y=1/(9x-2) (I am trying to decipher what you actually meant to type)
Multiply both sides by (9x-2)
y(9x-2)=1 divide both sides by y
9x-2=1/y add 2 to both sides
9x=1/y+2 which is equal to
9x=(1+2y)/y divide both sides by 9
x=(1+2y)/(9y) now switch labels...
y=(1+2x)/(9x)
f^-1(x)=(1+2x)/(9x)
Again, I am not sure that I understood what you meant to type for the equation... strictly as typed you actually have:
y=x/9-2 which can be written as:
y=(x-18)/9 multiply both sides by 9
9y=x-18 add 18 to both sides
9y+18=x then switch labels
y=9x+18
f^-1(x)=9x+18
The denominator must be made clear in this format by using () brackets, otherwise it is anyone's guess...
