The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1.what values should she substitute into the formula?

The right formula is: [x - x₁] = (4 / 7) [x₂ - x₁]

And the values to substitute are:
x₂ = 7
x₁ = - 2

Explanation:

1) Use these variables:

x₂ = the x-coordinate of point B = 7
x₁ = the x-coordinate of point A = - 2
x = the x-coordinate of the point that divides the line segment AB in a 4:3 ratio.

2) State the lengths:

length x - x₁ = x - x₁
length x₂ - x₁ = x₂ - x₁

2) Set a proportion:
[x - x₁] / [x₂ - x₁] = 4 / 7

⇒ [x - x₁] = (4 / 7) [x₂ - x₁]

⇒ x = (4/7) [x₂ - x₁] + x₁

The values to substitute are:
x₂ = 7
x₁ = - 2
Which leads to:
⇒ x = (4/7) [7 - (-2)] + (-2) = (4/7)(9) - 2 = 36/7 - 2 = [36 - 14] / 7 = 22 / 7

X^2 - 4x +(4/2^2) + y^2 + 8y + (8/2^2) = -4 + (4/2^2) + (8/2^2)(x + 2)^2 + (y + 4)^2 = -4 + 4 + 16your center is (-2, -4) and the radius is the sqrt of -4 + 4 + 16 which is 4

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,                                                                    

0 = ( 2 - 4 ) ( p + q )0 = ( 2 - 4 ) ( 2 + 5 i ),   by multiplying these0 = ( 4 + 10 i - 8 - 20 i )0 = 4 - 8 + 10 i - 20 i0 = - 4 -10 i   0 = 2 ( - 2 - 5 i )0 / 2 = - 2 - 5 i- 2 - 5 i = 0- 5 i = 2i = 2 / - 5