Answer:
x = 3
Step-by-step explanation:
-40 = -8 (x + 2)
-8 (x + 2) = -40 --- divide both sides by - 8
-8 (x + 2) -40
-------------- = ----------
-8 -8
x + 2 = 5 --- subtract 2 from both sides
x + 2 - 2 = 5 - 2 then simplify
x = 3
Answer:
a=16
Step-by-step explanation:
The distributive property states that

Therefore using the distributive property

=
Expanding the brackets
.....(i)
Comparing with the form
-----(ii)
The coefficient of y in (i) is 16 which corresponds to a and the likewise the coefficient of xy
Therefore, a=16
Answer:
I suppose we want to find the side length of the square.
We know that:
The area of the square is 49cm^2
The distance between one of the vertices of the square and the middle of the square is:
BE = 4.95cm
Now let's remember some things.
For a square of side length L, the area is:
A = L^2
and the diagonal length is:
D = √(2)*L
In this case, we know that half of the diagonal is equal to:
BE = 4.95 cm
Then the diagonal is:
D = 2*BE = 2*4.95cm = 9.9cm
And for the diagonal formula, we have:
D = 9.9cm = √(2)*L
Then the side length is:
L = 9.9cm/√(2) = 7cm
And if we check the area of this square, is:
A = L^2 = (7cm)^2 = 49cm^2
So it checks.
Then we can conclude that the sidelength of the square is 7cm, which means that:
AB = 7cm
BC = 7cm
CD = 7cm
DA = 7cm
Typically, you would use inches.
Answer:
1.53
Step-by-step explanation:
Find the attachment for explanation