The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4)
Find the values of:
a=
b=
C=

The values are:

Step-by-step explanation:

Given:

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

Using the mid-point formula

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P,   (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

as (x, y, z) = (-3, a, -1), so

Determining 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

Determining 'a'

a = (2+(-7)) / 2

Determining 'b'

-1 = (b+4) / 2

Therefore, the values are:

b. x + 1

step-by-step explanation:

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