Answer:
Step-by-step explanation:
Given that Z the set of integers is the universal set and
A is given in set builder form.

To convert this into roster form, we can find solutions for x
When 
i.e. all integers lying between -2.236 and 2.236
The only integers satisfying this conditions are
-2,-1,0,1,2
Hence A in roster form is
A=
Answer:
Length 34 cm
Width 8 cm
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The perimeter of rectangle is equal to
P=2(x+y)
P=84 cm
so
84=2(x+y)
42=x+y ----> equation A
x=4y+2 -----> equation B
substitute equation B in equation A and solve for y
42=(4y+2)+y
5y=42-2
y=40/5=8 cm
Find the value of x
x=4y+2 ----> x=4(8)+2=34 cm
The dimensions are
Length 34 cm
Width 8 cm
Answer: 40
Step-by-step explanation:
Let the two numbers be a and b.
Therefore,
a - b = 3 ....... i
a + b = 13 ....... ii
From equation I, a = 3 + b
Put a = 3+b into equation ii
a + b = 13
3 + b + b = 13
3 + 2b = 13
2b = 13 - 3
2b = 10
b = 10/2
b = 5
Since a = 3 + b
a = 3 + 5
a = 8
The product of the numbers will be:
= 8 × 5
= 40
Answer:
Step-by-step explanation:
A” (-2,2)
B” (-1,-2)
C” (-4,-4)