Answer:
the length of the rectangle is, 21 in.
Step-by-step explanation:
Area of the rectangle(A) is given by:
.....[1]
where,
l is the length of the rectangle
w is the width of the rectangle.
As per the statement:
The width of a rectangle is 9 in. shorter than its length.
⇒
It is also given that:
The area of the rectangle is 252 in².
⇒A = 252 in².
Substitute in [1] we have;
⇒
⇒
Factorize this equation:
Split the middle term;
⇒
⇒
⇒
By zero product property we have;
and 
⇒
and 
Since, length cannot be in negative
⇒
Therefore, the length of the rectangle is, 21 inches.
Answer:
See below
Step-by-step explanation:
5x+3y=13
3y=-5x+13
y=-5/3x+13/3
This graph has a slope of -5/3 and a y intercept of 13/3, as shown below. Hope this helps!
Answer:
Wayne bought 72 blueberries.
Step-by-step explanation:
To combine the fractions, convert all of the fractions to a denominator of 24.
3/8 * 3/3 = 9/24
1/6 * 4/4 = 4/24
5/12 * 2/2 = 10/24
Now add together the fractions
9/24 + 4/24 + 10/24 = 23/24
He used 23/24 of his blueberries, or 69 of them.
To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.
69 / 23 = 3
3 * 24 = 72
Wayne bought 72 blueberries.
Answer: 24
Step-by-step explanation:
24 square root: 4.898979486
