Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Answer:
300
Step-by-step explanation:
5 percent * 6000
(5:100)* 6000
(5* 6000):100
30000:100 = 300
Answer: u=7
Step-by-step explanation:
-6= -2u+4(u-5)
-6= -2u+4u-20
-6= 2u-20
14= 2u
7=u
1.7 as a fraction is 17/10
1.(7) the 7 in the parentheses represents the number after the decimal, which is in the tenths spot. 10 tenths + 7 tenths = 17/10 <-- our answer.