X is the midpoint of AB. B has coordinates (12,−7), and X has coordinates (3,−1). Identify the coordinates of A.

A (- 6, 5 )

Step-by-step explanation:

Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( , )

let (x₁, y₁ ) = A (x, y ) and (x₂, y₂ ) = B (12, - 7 )

Find the midpoint of AB using the above formula and equate each value to the coordinates of the midpoint X (3, - 1 )

  = 3 ( multiply both sides by 2 )

x + 12 = 6 ( subtract 12 from both sides )

x = - 6

= - 1 ( multiply both sides by 2 )

y - 7 = - 2 ( add 7 to both sides )

y = 5

Coordinates of A (- 6, 5 )

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form