The area of a rectangle is the product of its dimensions
The base of the rectangle is 7 units
<h3>How to calculate the base of the rectangle</h3>
The area of a rectangle is:
Area (A) = Base (B) * Height (H)
From the question, we have:
A = 6 + P
H = 4
The perimeter of the rectangle is:
P =2 * (B + H)
So, we have:
P =2 * (B + 4)
Substitute P =2 * (B + 4) in A = 6 + P
A = 6 + 2 * (B + 4)
Expand
A = 6 + 2B + 8
Evaluate
A = 2B + 14
The area of the rectangle is:
A = BH
So, we have
A = 4B
Substitute 4B for A in A = 2B + 14
4B = 2B + 14
Subtract 2B from both sides
2B = 14
Divide both sides by 2
B = 7
Hence, the base of the rectangle is 7 units
Read more about areas at:
brainly.com/question/24487155
Answer:
x=-1
Step-by-step explanation:
since XY is a straight line, XM = MY
so, 5x+8=9x+12
4x=-4
x=-1
Answer:
f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4
Step-by-step explanation:
The function
can be thought of as a series of steps, one operation at a time:
Start with x
Multiply by 4
Add 5
Take the 
Subtract 6
That gives you a function value
.
To get the inverse function, read that list from the bottom up (in reverse order, using inverse operations at each step).
Start with x (a bit confusing, because this x represents the function value you get at the end of the above list).
Add 6 (add is the inverse operation of subtract)
Raise 3 to the ... 
Subtract 5
Divide by 4

Let's test this out. Find f(1).

Now put -4 into the inverse function.

The final result is the number we started with when we put 1 into <em>f</em>(<em>x</em>).
Finding an inverse is reversing the action of the function <em>f</em> by doing inverse operations in "backwards" order.
A lot of authors have you do this by switching x and y in the formula for a function, then solving for <em>x</em>.

Answer:
17 and 58 over 81 pounds
Step-by-step explanation:
Answer:
< - 52, 48 > and 70.77
Step-by-step explanation:
2v - 6u
= 2<- 11, 3 > - 6 < 5, - 7 >
= < - 22, 6 > - < 30, - 42 >
= < - 52, 48 >
| 2v - 6u | =
=
= 70.77