The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the rectangle?
Answers
Final answer:
The length of the rectangle is 1 unit.
Explanation:
To find the length of the rectangle, we need to solve for the width first. We are given that the length of the rectangle is the width minus 8 units. Let's assume the width is 'w'. So the length would be 'w-8'. The area of the rectangle is given as 9 units. We can write the equation: (w-8) * w = 9. Solving this equation, we get w^2 - 8w - 9 = 0. Factoring or using the quadratic formula, we find that the width is approximately -1 or 9. Since the width cannot be negative, we discard -1 and conclude that the width is 9 units. Now, we can substitute this value back into the length equation to find the length: length = width - 8 = 9 - 8 = 1 unit.
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Answers
Answers
Answer:
1/9 and -1/9
Step-by-step explanation:
81x^2=1
Dividing by 81 on both sides:
x^2=1/81
Taking the square root:
x= ±1/9
22%
B.
40%
C.
250%
D.
50%
Answers
Answer:
Option B is correct.
Twenty-two is 40 percent of 55
Step-by-step explanation:
Let x be the number.
As per the statement:
Twenty-two is x percent of 55
Solve for x:
Twenty-two is x percent of 55
"of" means multiply
⇒
Divide both sides by 55 we get;
Simplify:
Multiply both sides by 100 we have;l
Simplify:
x = 40%
Therefore, Twenty-two is 40 percent of 55
that 22 is for the actual number 55 = (22/55) * 100
= (2/5) * 100
= 2 * 20
= 40 percent
So the correct option among all the options given in the question is option "B".Most of the information’s that are required for solving thisproblem is already given in the question. I hope the procedure for solving theproblem is also clear for you to understand. In future you can always use thismethod for solving similar problems.
Answers
round to the nearest hundreds 558 rounds up at 600 because 5 or more you round up, 5 or less you round down
-x=-y-9
O A. (10,1)
O B. (11,0)
O C. (9,2)
O D. (8, 3)
Answers
Answer:
A. ( 10, 1 )
Step-by-step explanation:
Isolate x for x + y = 11.
x + y = 11
Subtract y from both sides.
x + y - 11 - y
Simplify.
x = 11 - y
Substitute x = 11 - y
[ - ( 11 - y ) = -y - 9 ]
Isolate y for - ( 11 - y ) = -y - 9.
- ( 11 - y ) = -y - 9
Expand - ( 11 - y )
Add 11 to both sides.
-11 + y + 11 = - y - 9 + 11
Simplify.
y = -y + 2
Add y to both sides.
y + y = -y + 2 + y
Simplify.
2y = 2
Divide both sides by 2.
Simplify.
y = 1
Substitute y = 1.
x = 11 - 1
Subtract the numbers: 11 - 1
= 10
x = 10
y = 1
( 10, 1 )
Answers
40 x 11.2
448