The answer is x=-5.5 . 2x-3 = 4x+8 . subtract 2x from both sides and then subtract 8 from both sides and get -11=2x . then divide both sides by 2 to get . -5.5=x
Answer:
Hello :
4x² - 8x +3 = 0
4 ( x² - 2x +3/4 ) = 0
4 ( (x² -2x +1) -1 + 3/4) = 0
4 ((x-1)² - 1/4 ) =0
(x-1)² - 1/4 = 0
(x-1)² - ( 1/2 )²=0
( x - 1 -1/2 ) ( x - 1 +1/2 ) = 0
( x - 3/2) ( x - 1/2) = 0
x - 3/2 = 0 or x - 1/2 = 0
two solutions : 3/2 ; 1/2
We know that 1 cube equals 1/3. If you count the rectangular prism, you learn that there are 30 cubes in total that make up the rectangular prism. So what I did was 1/3 times 30. You could also divided 1 by 3, and get 0.3333333333, which is equal to 1/3 (1/3 = 0.3333333333) So, you should come out with ten. Thus your answer would be D, 10ft cubed.
Hope this helps :)
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
