Answer:
A
Step-by-step explanation:
Perpendicular bisector of a line divides the line into 2 equal parts and it is perpendicular to the line.
First let's find the midpoint of CD. The point is where the perpendicular bisector will cut through the line.
midpoint= 
Thus, midpoint of CD
Gradient of line CD
The product of the gradients of perpendicular lines is -1.
gradient if perpendicular bisector(1)= -1
gradient of perpendicular bisector= -1
y=mx +c, where m is the gradient and c is the y-intercept.
y= -x +c
Subst a coordinate to find c.
<em>Since the perpendicular bisector passes through the point (8, -10):</em>
When x=8, y= -10,
-10= -8 +c
c= -10 +8
c= -2
Thus, the equation of the perpendicular bisector is y= -x -2.
The important formula to this problem is
or
Now, the speed of the car is 70 km/h, and the speed of the truck is 50 km/h. It will take the two vehicles the same amount of time to meet since they both left at the same time. So, since distance equals rate times time, and t = time:
the distance of the car = 70t
the distance of the truck = 50t
Because they both left in opposite directions, and the towns are 420 kilometers apart, the equation for this would be
We now solve the equation.
It will take the vehicles 3 and a half hours to meet. Since we're looking for the time, 3 and a half hours from 10:00 AM is 1:30 PM.
So, the car and the truck will pass each other at 1:30 PM.
Answer:
254.34 cm^2
Step-by-step explanation:
Volume of cylinder = 
We know that the diameter is 6, which means that the radius is 3 cm.
Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.
Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.
Substituting into the formula we will end up with 254.34 cm^2.
