Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
10 in.
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of the 4 sides.
perimeter of rectangle = length + length + width + width
Opposite sides of a rectangle have the same length. Since one side measures 4 inches, the opposite side also measures 4 inches. Since one side measures 1 inch, the opposite side also measures 1 inch. There are two 4-inch sides and two 1-inch sides.
perimeter = 4 in. + 4 in. + 1 in. + 1 in.
perimeter = 10 in.
The best estimate of the lateral area of the cube with edges that are 2.1 inches long is 4.2
first you have to look to the right of that number .check if it is more than 5. if it is ,than add one to the first digit in the quotient. all the other numbers will turn to zeroes.
