Answer:
21x^2 + 20x + 4 = (3x + 2)(7x + 2).
Step-by-step explanation:
Given the expression is 21x² +20x +4
We can solve the equation as follows:-
21x² +20x +4 = 0
Then a = 21, b = 20, c =4.
Using Quadratic formula, x = ( -b ± √(b² -4ac) )/2a
x = ( -20 ± √(400 - 4*21*4) )/2*21
x = ( -20 ± √(400 - 336) )/42
x = ( -20 ± √(64) )/42
x = ( -20 ± 8 )/42
x = -28/42 or x = -12/42
x = -2/3 or x = -2/7
(x + 2/3) = 0 or (x + 2/7) = 0
Now the factored form can be written as follows:-
(x + 2/3)(x + 2/7) = 0
(3x+2)(7x+2) = 0
Hence, the factored form is 21x^2 + 20x + 4 = (3x+2)(7x+2).
Answer: a) 
b) By 0.75 square meters the new area is increased.
Step-by-step explanation:
Let the length of room be l
Let the breadth of room be 'b'
As we know the formula for "Area of rectangle ":
Now, According to question, The new area of the room is 175% of the previous area.
So, a) New area of the room becomes,
So, it means Length of the room is increased by 175%, because of which the area is increased by 175%.
b) By how many square meters has the area of Megan's room increased
(2/3)-j
put it in parenthesis, the 2/3 to solve it correctly.
Answer:
9 times.
Step-by-step explanation:
The two digit numbers are 10 - 99.
Zero appears 9 times in the group of numbers.
10, 20, 30, 40, 50, 60, 70, 80, 90.
Therefore, the correct option should be C.
Hope this helps.
Answer:
18
Step-by-step explanation:
area of the "left most" side disk would be 
= 9
the height of the disk is = 2
thus the area would be 18 units cubed
