Area = length x width
24 = (n-3) x 2
24 = 2n -6
2n = 30
n = 15
Length is 15-3 =12, width is 2
24 = 12 x 2
Answer:
330,000
Step-by-step explanation:
if the underlined digit is 9, then the six rounds the 9 up to a 10, making the rounded number amount to 330,000.
First number = X
second number = x +26 ( exceeds means higher so add 26)
x + x+26 = 58
combine like terms:
2x + 26 = 58
subtract 26 from each side:
2x = 58-26
2x = 32
divide both sides by 2:
x = 32/2
x = 16
first number is 16
second number = 16+26 = 42
Answer:
The circumference of Dan's circle is approximately 50.27 inches.
Step-by-step explanation:
The length of the circumference (
), measured in inches, is determined by the formula:
(1)
Where 
is the radius, measured in inches.
If we know that 
, then the length of the circumference is:
The circumference of Dan's circle is approximately 50.27 inches.
Answer:
x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Step-by-step explanation:
Solve for x:
-8 + x^2 + (x^2 - 8)^2 = 20
Expand out terms of the left hand side:
x^4 - 15 x^2 + 56 = 20
Subtract 20 from both sides:
x^4 - 15 x^2 + 36 = 0
Substitute y = x^2:
y^2 - 15 y + 36 = 0
The left hand side factors into a product with two terms:
(y - 12) (y - 3) = 0
Split into two equations:
y - 12 = 0 or y - 3 = 0
Add 12 to both sides:
y = 12 or y - 3 = 0
Substitute back for y = x^2:
x^2 = 12 or y - 3 = 0
Take the square root of both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0
Add 3 to both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3
Substitute back for y = x^2:
x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3
Take the square root of both sides:
Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
