Answer:

Step-by-step explanation:
When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line,
.
To obtain the slope from the line AB, we need two points, so the general equation will be:

The typical equation of a line is written as y = mx + b
The second line will pass through point (2, -1), so we can substitute:
y2 = mX2 + b
-1 =
(2) + b
then the interception is 
Now to obtain a general equation for the second parallel line will be:
y =
X + b
y =
X -
(2)-1
Finally we get:
y =
(x-2)-1
Answer:
9 Miles to be specific 8.95
Step-by-step explanation:
3 miles = 4.83 km
4.83 km = 4830 m
60 seconds X 45 =2700 Seconds
4830 divided by 2700 = 1.78 m/s
you want to know the distance so its speed X time
135 minutes X 60 seconds = 8100 secs
1.78 m/s X 8100 =14418 meters
14418 = 14.418 km
14.418 km = 9 miles
P.S. There is a shorter version but i think this is simpler for me and I use metric units.
Answer:
18 15/16 ft
Step-by-step explanation:
what is the request here ?
to do the additions and bring all to one summary result of ft ?
I base my answer on this assumption.
10 1/16 = 161/16
8 3/8 = 67/8
1/2 = 1/2
note let's bring everything to 16th, so that we can actually add them.
161/16
67/8 = 134/16
1/2 = 8/16
161/16 + 134/16 + 8/16 = 303/16 = 18 15/16
cross check :
add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).
10 + 8 = 18
1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16
together, 18 15/16
yeah, it is the same.
Answer:
13 2/5
Step-by-step explanation:
a = 2 and b = -3
so the question asks whats.... a^3 - b^3/5
First we plug in the values of a and b
(2)^3 - (-3)^3 /5
Now we solve the ones in paranthesis first
(2)^3 = 8 because 2×2×2 and
-(-3)^3 forget about the - outside the parenthesis so
(-3)^3 = (-27) because (-3)×(-3)×(-3)
now we put it back together
8 -(-27)/5
the two minus become plus so
8 + 27/5
Now we solve it like fractions
8 and 27/5
simplify
13 and 2/5
Hope that helps!
Answer:
(5,6)
Step-by-step explanation:
-6x+6y=6
-6x + 3y =-12
Multiply the first equation by -1
6x-6y=-6
Add this to the second equation
6x-6y=-6
-6x + 3y =-12
---------------------
-3y = -18
Divide each side by -3
-3y/-3 = -18/-3
y =6
Now we need to find x
6x - 6y = -6
6x -6(6) = -6
6x -36 = -6
Add 36 to each side
6x-36+36 = -6+36
6x = 30
Divide each side by 6
6x/6 = 30/6
x =5