Perimeter of rectangle is calculated by taking the sum of all the sides of the rectangle. In rectangles the 2 opposite sides are equal
length - 3x - 1
breadth - 3x - 3
the formula used to calculate perimeter for rectangle
perimeter = (2 x length) + (2 x breadth)
substituting length and breadth
perimeter = {2 x (3x - 1)} + {2 x (3x - 3)}
= 6x - 2 + 6x - 6
= 12x - 8
therefore correct answer is
<span>b.12x-8</span>
Answer:
f^-1(x) = 9(x+2)
Step-by-step explanation:
To find the inverse function, exchange x and y and then solve for y
y = 1/9 x -2
Exchange x and y
x = 1/9 y-2
Solve for y
Add 2 to each side
x+2 = 1/9 y-2+2
x+2 = 1/9y
Multiply each side by 9
9(x+2) = 9*1/9y
9(x+2) = y
The inverse function
f^-1(x) = 9(x+2)
Let
be the length of the rectangle and
be the width. In the problem it is given that
. It is also given that the area
. Substituting in the length in terms of width, we have
. Using the zero product property,
. Solving these we get the width
. However, it doesn't make sense for the width to be negative, so the width must be
. From that we can tell the length
.
Answer:
Step-by-step explanation:
<u>Equivalent Fractions</u>
Two fractions are equivalent if they represent the same rational number, regardless of their expression. For example, the fraction 2/5 is equivalent to 10/25 since they both represent the number 0.4
To find if a given fraction is equivalent to another given fraction, we can simplify or amplify it until an equivalence is found or not. We can also simply perform the division and compare the results.
We must find out if the four choices are equivalent to the fraction 4/9. Let's start with the first one
We simplified it by 4 and found it's not equivalent to 4/9. The fraction
is equivalent to 4/9 when simplified by 2.
This fraction was simplified by 3 and is not equivalent to 4/9. Finally
Is equivalent to 4/9 when simplified by 3. Summarizing, these fractions are equivalent to 4/9
Answer:
42n²+21n
Step-by-step explanation: