Answer:
3.
Step-by-step explanation:
Find the midpoint of BC:
midpoint = (-1+5)/2, (2-2)/2 = (2, 0).
The slope of BC = (2 - -2) / (-1-5) = -2/3.
Find the equation of the right bisector of BC:
The slope = -1 / -2/3 = 3/2.
y-y1 = m(x-x1)
y - 0 = 3/2(x - 2)
y = 3/2x - 3.
Now find the equation of the median through C:
The midpoint of AB = (1 - 1)/2, (4+2)/2
= (0, 3).
The equation of the median:
The slope = (-2-3) / (5-0)
= -1.
The equation is:
y - 3 = -1(x - 0)
y -3 = -x.
Now we find the point of intersection by solving the 2 equations:
y - 3 = -x
y = 3/2x - 3
y = -x + 3
So:
3/2x - 3 = -x + 3
3/2x + x = 6
5/2 x = 6
x = 12/5.
y = -12/5 + 3
= -12/5 + 15/5
= 3/5.
The sum of the coordinates = 12/5 + 3 /5
= 15/5
= 3.
Answer:
1
Step-by-step explanation:
It means that every unit of mini boat requires 2 pounds of wood and 3 ounces of glue.
As such 3 pounds of wood can only be used to build one mini boat and there will be one pound of wood left. With 6 ounces of gold, the builder can build 2 boats (6/3).
However, the wood becomes the limiting factor that determines the number of mini-boats that can be made. Hence with 3 pounds of wood and 6 ounces of glue, the builder can only build a mini-boat.
Answer:
A
Step-by-step explanation:
15+3x-4+6x= 9x+11 add 6+3 then subtract 15-4
3y-4x+8x-y= 4x+2y add -4+8 then subtract 3-1
5x+8x+10x-3x= 20x Add 10+5+8 to get 23 then subtract 3
Answer:
-1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
16f=−4
Step 2: Divide both sides by 16.
