How do you factorise 3x²-x
1 answer:
You might be interested in
Answer:
C. 210 miles
Step-by-step explanation:
We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.
We will use distance formula and Pythagoras theorem to solve our given problem.
.
Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.
Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.
Therefore, the both cars will be 210 miles apart and option C is the correct choice.
Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
_____
The graph shows the original points and the line through them in red, and the dilated points and line in green.
