The midpoint of AD is C. The midpoint of AC is B. If A is at (-10,4) and D is at (2,12), find the coordinates of B. Group of answer choices (-5,5) (-4,8) (-2.5,9) (7,6)

Step-by-step explanation:

Given

Required

Determine the coordinates of B

C is the midpoint of AD. So, we calculate the coordinates of C, first.

Where:

---

---

So, we have:

So, the coordinates of C is (-4,8)

The midpoint of AC is B.

So, we calculate the coordinates of B using:

Where:

---

---

So, we have:

Hence, the coordinates of B is (-7,6)

None of the options is correct.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b