Answer:
0.75 Miles
Step-by-step explanation:
To find the answer we have to find the difference in the distance the train and car travelled
65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes
For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes
3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is
Answer:
C.
Step-by-step explanation:
A - Perpendicular lines always touch each other at least once.
B - Parallel lines never touch.
D- Not always true.
C is true. If they are not in the same plane they are skewed lines.
Answer:
the solution is x<-2
.
Step-by-step explanation:
each time you multiply both sides with a negative number or if you divide both sides by a negative number, you need to "turn" the greater/less sign, so, transform
<
into
>
and vice versa
if you flip the sides of the equation, you also need to "turn" the greater/less sign.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
------------------------
To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Last one!!!!!!! its literally the opposite!!