Answer:
x = 2
Step-by-step explanation:
AB is given as 3(3x-1) multiply inside the parenthesis with 3
AB = 9x - 3
AC is given as 5(2x+2) multiply inside the parenthesis with 5
AC = 10x + 10
if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values
9x - 3 + 9x - 3 = 10x + 10 add like terms
18x - 6 = 10x + 10 transfer like terms to the same side of the equation
18x - 10x = 10 + 6
8x = 16 divide both sides by 8
x = 2 replace x with 2 in given expressions to find the value of each component
Answer:

Step-by-step explanation:
Given:
The two points on the line are
and
.
The slope of the line joining two points
and
is given as:

Here, 
∴ 
Equation of line with a point
and slope
is given as:

Plug in -2 for
, 3 for
and -7 for
. This gives,

Therefore, the equation of the line in vertex form is
.
Answer:
54 millimeters
Step-by-step explanation:
The median length would be in the middle of the values in order, so you could order the numbers 50,50,52,53,54,55,55,55,57. You would then find the middle value which would be the 5th value in a list of 9. In this case, it would be 54 millimeters.
Answer:
4=4x
Step-by-step explanation:
the formula y=mx+b
corresponds to y=slope+y intercept
all proportional relationships start on the origin so the y-intercept is always 0
the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x
Answer:
75.245 or 75.25
Step-by-step explanation: