Answer: 3x+12y+4
Step-by-step explanation:
The only like terms are the x+2x so we add them to get the simplfied answer
Answer:
2 and - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x + 9 ( divide all terms by 3 )
y = 2x + 3 ← in slope- intercept form
with slope m = 2
(i)
Parallel lines have equal slopes, thus
the slope of line t is 2
(ii)
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
the slope of line r is - 
Answer:
Step-by-step explanation:
(x - 3)/2= 1
x - 3 = 2
x = 5
(y - 8)/2 = -2
y - 8 = -4
y = 4
(5, 4) coordinates for B
You first convert everything to minutes
3hrs= 60x3=180mins
1hr= 60x1=60mins
then you add 20 to 180
200
and you also add 48 to 60
104
200-104=
96
Then you convert to hrs and mins
96-60=36
1hr 36mins
Answer:
256
Step-by-step explanation:
A calculator works well for this.
_____
None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256