Answer:
The degree of the monomial is 4.
Answer:

Step-by-step explanation:
The area (A) of a rectangle is equal to the length (L) of one of its sides times its width (w)
(eq. 1)
And its perimeter can be calculated with the next formula:
P=2(L+w) (eq. 2)
Solving for <em>w </em>in eq. 1, and plugging it into eq. 2
(eq. 3)
(eq. 4)
We know that A=49m^2, plugging in this value into eq. 4, we finally get into the answer:

If the length of the rectangle is larger than its width:



We know that a length can't be negative value, so the only valid interval is L>7. The domine of P is then:
L>7
Answer:
y ≥ -2
Step-by-step explanation:
5y - 3 ≥ -13
+3 +3
5y ≥ -10
5/5y ≥ -10/5
y ≥ -2
and since we didn't divide by any negative numbers the sign stays the same
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is

where b is the length side of the square
we have

substitute


therefore

step 2
Find the area of ACIG
The area of rectangle ACIG is equal to

substitute the given values

step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to

we have


substitute

step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to

we have


substitute

step 5
sum the shaded areas

step 6
Divide the area of of the shaded region by the area of ACIG

Simplify
Divide by 5 both numerator and denominator

therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer:
Step-by-step explanation:
The total number of lines, n(U) = 18
Let the number of lins with verb be n(V) = 11
Let the number of lines with adjectives be n(A) = 13
n(V n A) = 8
Find the number of lines that have a verb but no adjective, that is, n(V n A')
Mathematically, according to sets theory,
n(V) = n(V n A) + n(V n A')
So,
n(V n A') = n(V) - n(V n A) = 11 - 8 = 3.
Hence, only 3 lines have a verb but no adjectives.