Question

Finallyyy the last one

Answer 1

Answer:

B and C

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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

d = $\sqrt{(4-8)^2+(-3+7)^2}$ → B

  = $\sqrt{(-4)^2+4^2}$

  = $\sqrt{16+16}$

  = $\sqrt{32}$

  = $\sqrt{16(2)}$

  = $\sqrt{16}$ × $\sqrt{2}$

  = 4$\sqrt{2}$ → C

Answer 2

Answer:

$\sqrt{(4-8)^{2}+(-3+7)^{2}}$

$4\sqrt{2}$

Step-by-step explanation:

The formula for finding the distance between two lines is:

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

where d is the distance between the points (x₁, y₁) and (x₂, y₂).

By using the distance formula, we can find that the distance between (8, -7) and (4, -3) is:

$d=\sqrt{(4-8)^{2}+(-3+7)^{2}}$

So we know that

$\sqrt{(4-8)^{2}+(-3+7)^{2}}$

is one answers to the question. To find the other answer, if there is one, we will have to evaluate the distance between the two points.

$d=\sqrt{(4-8)^{2}+(-3+7)^{2}}=\sqrt{(-4)^{2}+4^{2}}=\sqrt{16+16}=\sqrt{32}=4\sqrt{2}$

So now we know that

$4\sqrt{2}$

is another one of the answers. Since none of the other answer are equal to each other, those are the only two answers.

$\sqrt{(4-8)^{2}+(-3+7)^{2}}$

$4\sqrt{2}$

I hope you find this helpful.