Answer:
6.5 cm
Step-by-step explanation:
Given the perimeter is 33 cm
Sum the 4 sides and equate to 33
2(3x - 1) + 2(2x + 5) = 33
6x - 2 + 4x + 10 = 33
10x + 8 = 33 ( subtract 8 from both sides )
10x = 25 ( divide both sides by 10 )
x = 2.5
Then
shorter side = 3x - 1 = 3(2.5) - 1 = 7.5 - 1 = 6.5 cm
Answer:
The difference in elevation between Laguna del Carbon and El Alto is 12,656 feet.
Step-by-step explanation:
Given that Laguna del carbon, a salt lake located in Argentina, lies 344 feet below sea level, while El Alto, Bolivia, is located approximately 13,000 feet above sea level, to determine what is the difference in elevation between Laguna del Carbon and El Alto, the following calculation must be performed:
13,000 - 344 = X
12.656 = X
Thus, the difference in elevation between Laguna del Carbon and El Alto is 12,656 feet.
Answer:
A) x=9/2 B) x=-1/5, 1/2
Step-by-step explanation:
3x-9=27/1-5x
3x-9=27-5x
3x-(-5x)-9=27
3x+5x-9=27
8x-9=27
8x=27+9
8x=36
x=36/8
simplify
x=9/2
Answer: x=9/2
-----------------------------
10x-1/x=3
(10x^2-1)/x=3
10x^2-1=3*x
10x^2-1=3x
10x^2-3x-1=0
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -1 in this case.
When you add those 2 numbers, you get the second term,
which is -3 in this case.
(5x+1)(2x-1)=0
apply the zero property from here,
set 5x+1=0 and 2x-1=0 and solve for x.
5x=0-1=-1, x=-1/5,
2x=0+1=1, 2x=1, x=1/2.
So x=-1/5, 1/2.
Perimeter=4h+4
If the base is 2 more than the height, it gives us the equation:
b=h+2
The equation for the perimeter of a rectangle can be though of as 2b+2h, so substituting in (h+2) for b from the first equation, we get 2(h+2)+2h.
This can be simplified to be 2h+4+2h or 4h+4