Answer:
The coordinates for point a will be (5,0)
Step-by-step explanation:
a=(xa,ya)=?→xa=?, ya=?
b=(-3,4)=(xb,yb)→xb=-3, yb=4
Midpoind: m=(1,2)=(xm,ym)→xm=1, ym=2
1) xm=(xa+xb)/2
Replacing the known values:
1=(xa+(-3))/2
1=(xa-3)/2
Solving for xa: Multiplying both sides of the equation by 2:
2(1)=2(xa-3)/2
2=xa-3
Adding 3 both sides of the equation:
2+3=xa-3+3
5=xa
xa=5
2) ym=(ya+yb)/2
Replacing the known values:
2=(ya+4)/2
Solving for ya: Multiplying both sides of the equation by 2:
2(2)=2(ya+4)/2
4=ya+4
Subtracting 4 both sides of the equation:
4-4=ya+4-4
0=ya
ya=0
a=(xa,ya)→a=(5,0)
Total number of members = 12
Members to choose at a time = 2
This is a combination problem and we are to find the combination of 12 objects taken 2 at a time i.e. we are to find 12C2
12C2 = 66
So, there are 66 ways of selecting a president and vice president.
Therefore, the correct answer is option D
Answer: 1.893 Welcome
Step-by-step explanation:
9.10
+2.53
————
11.63
Just add the rows from the top to the bottom
Answer:
The radius of cylinder is 14 inches
Step-by-step explanation:
Given that the volume of cylinder is 196π in² and the height is 1 in . The formula for it is V = πr²h. Then you can substitute the following value into the formula:
V = 196π
h = 1
196π = π × r² × 1
r² = 196π/π
r² = 196
r = 14 in
