Given points A(1,2) and C(-1,-1), find the distance AC using the distance formula.

April 7, 2026Mathematics

ScanSolve AI Answer

April 7, 2026

Answer

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

Here are the solutions to the problems:

a) (ii) Find AC Given points: $A(1,2)$ and $C(-1,-1)$ . The distance formula is $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

Step 1: Substitute the coordinates of A and C into the distance formula. $AC = \sqrt{(-1 - 1)^2 + (-1 - 2)^2}$

Step 2: Calculate the differences. $AC = \sqrt{(-2)^2 + (-3)^2}$

Step 3: Square the differences. $AC = \sqrt{4 + 9}$

Step 4: Add the squared

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QUsing Integration by parts, show that In = (pi)/(2) ^n-2 x x + ((n-1))/(n) In-2. Hence evaluate inte…QDetermine the roots of f(x) = -x2 - 2x2 + 5x + 6.QUse differentiation rules to determine the derivatives of each of the following, leaving the answer…Qsolve the correct answers from 21- 37 Qsolve the correct answers from 20-58

See all Mathematics questions →

Still have questions?

Quick Answer

a) (ii) Find AC Given points: A(1,2) and C(-1,-1). The distance formula is d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2).

Asked on April 7, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 7, 2026

Here are the solutions to the problems: a) (ii) Find AC Given points: A(1,2) and C(-1,-1). The distance formula is d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2). Step 1: Substitute the coordinates of A and C into the distance formula. AC = sqrt((-1 - 1)^2 + (-1 - 2)^2) Step 2: Calculate the differences. AC = sqrt((-2)^2 + (-3)^2) Step 3: Square the differences. AC = sqrt(4 + 9) Step 4: Add the squared