Answer:
Step-by-step explanation:
Given,
Length (l) = 2(7z + 3) = 14z + 6
Breadth (b) = 5z
Now,
Perimeter of rectangle (P) = 2(l + b)
=2(14z + 6 + 5z)
=2(19z + 6)
=38z + 12
Hi there!
Let me help you out a bit here. What we need to do is subtract the area of the smaller square from the area of the larger square. To do this, we first need to find the length of one of the larger sides. Since the outer polygon is a square, we can use the 45-45-90 relationship to determine that each side of the larger square is equal to

. Next, we can do the same thing for the smaller square, determining that one outer side of the smaller square is equal to

. To figure out the area of both squares, we need to square each of the outer lengths. This gives us 162 for the bigger square and 32 for the smaller square. Now, all we need to do is subtract 32 from 162. This gives us a value of 130cm^2 for the shaded area.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
Option C.
Step-by-step explanation:
The given expression is
We need to find the factored form of the given expression.
The given expression can be rewritten as
It is clear that
is common.
Taking out common factors, we get
It is the factored form of the given expression.
Hence, the correct option is C.
This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)
Answer:

.
Step-by-step explanation:
Use the form below

Where
is a slope
and
are the point of the line
.
So, the slope is


.





.
Happy to help:)