Answer:
x^2 + 6x + 9 = 16
(x + 3)^2 = 16
x + 3 = +-4 ---> x = -7 or x = 1
Answer:
Step-by-step explanation:
Area of a rectangle is given by:
....[1]
where
l is the length
w is the width of the rectangle respectively.
As per the statement:
the length of a rectangle is four times its width.
⇒
It is also given that: area of rectangle is 1024 cm square
Substitute the given values in [1] we have;
⇒
Divide both sides by 4 we have;
or
Taking square root both sides we have;
cm
Therefore, the width of the rectangle is, 16 cm
Answer:
length = 4 feet, and width = 2 feet
Step-by-step explanation:
Given that 12 feet of the frame material is available for the rectangular part of Norman's window. Then,
Perimeter = 2 (length + width)
Perimeter of the frame = 12 feet
So that,
Perimeter = 2 (length + width)
12 = 2 (length + width)
length + width = 
length + width = 6 feet
Therefore, to allow much light as possible, the dimensions of the window would be; length = 4 feet, and width = 2 feet.
In order to find the number, we will need to set it up in an equation. In total, there are 460 students while 60% of them have pets. Lets set that up.
460(60%)
In order to correctly do this, we will need to transfer 60% into a decimal, which is .6. Now we will rewrite it.
460(.6)
This now can be represented by the number 276.Since we know that 276 is 60% of 460, The total number of students that have pets will be 276.
