Answer:
(4.2 units)
Step-by-step explanation:
By inspection of the illustration we can see that leg DE has length 3 and that leg DF also has length 3. By the Pythagorean Theorem, 3^2 + 3^2 = 2(3^2); thus, the length of the hypotenuse EF is 3√2, or approximately 4.24 units. The third answer choice (4.2 units) is the correct one.
So because of PEMDAS you want to distribute the 2 to the parentheses so you'll get
6x-19=2x-2+11
Then you can just add like terms
6x-19=2x+9
Now you want to get all your variables on one side so you'd add 19 and subtract 2x
4x=28
Now you divide 28 by 4
x = 7
Answer:
we have two solution x = 5 and x = 11
but in given problem x = 5 and x = –11
thus, only one of his solution x = 5 is correct
Step-by-step explanation:
Given
–2|8 – x| – 6 = –12
adding 6 both sides
–2|8 – x| – 6 +6= –12 +6
–2|8 – x| = –6
dividing both side by -2
–2|8 – x| /-2 = –6/-2
=>|8 – x| = 3
we know that
in modulus function |Y| = -y or y
Thus
|8 – x| = 3
can be written as
8-x = 3 or 8- x = -3
8-x-3 = 0 or 8-x+3 = 0
5-x = 0 or 11 -x = 0
x = 5 or x = 11
thus, we have two solution x = 5 and x = 11
but in given problem x = 5 and x = –11
thus, only one of his solution x = 5 is correct
Ac - 5ad - 5bc + 25bd = a(c - 5d) - 5b(c - 5d) = (c - 5d)(a - 5b)
