Question

1. Find the length of AB if A is (3,6) and B is (-3,2) ​

Answer 1

Answer:

$\huge{ \boxed{ \tt{2 \sqrt{13 }\: \: \sf{units}}}}$

Step-by-step explanation:

$\star{ \sf{ \: let \: A(3,6) \: be \: (x1 ,\: y1) \: and \: B(-3,2) \: be \: (x2 \: y2)}}$

$\sf{Using \: distance ,\: formula \: to \: find \: the \: length \: of \: AB} :$

$\boxed{ \sf{ \: distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\mapsto{ \sf{ \sqrt{ {( - 3 - 3)}^{2} + {(2 - 6)}^{2} } }}$

$\text{Remember!} :$

• The positive integers are always added and posses the positive ( + ) sign.
• The negative integers are always added but posses the negative ( - ) sign.
• The negative and positive integers are always subtracted but posses the sign of the bigger integer.

$\mapsto{ \sf{ \sqrt{ {( - 6)}^{2} + {( - 4)}^{2} } }}$

$\mapsto{ \sf{ \sqrt{( - 6) \times ( - 6) + ( - 4) \times ( - 4)}}}$

$\text{Remember!} :$

• Multiplying or dividing positive integers gives a positive integer
• Multiplying or dividing positive integers by any negative integers gives a negative integer.
• Multiplying or dividing a negative integer by a positive integer gives a negative integer.
• Multiplying or dividing a negative integer by a negative integer gives a positive integer.

$\mapsto{ \sf{ \sqrt{36 + 16}}}$

$\mapsto{ \sf{ \sqrt{52} }}$

$\mapsto{ \sf{2 \sqrt{13} \: units}}$

$\sf{∴The \: length \: of \: AB \:is \: 2 \sqrt{13} \: \: units.}$

Hope I helped!

Best regards! :D

~$\sf{TheAnimeGirl}$

Answer 2

Answer:

Step-by-step explanation: In isosceles triangle ABC, AB = BC.(2) Bob does his homework if and only if George gets candy.What is the length, to the nearest tenth, of the line segment joining  1.25000. (3) 151.9. (-4-146)2+(2-5272. 6. What is the slope of a line perpendicular to the line whose MLABC = (2x+10), find mLACB. C. rectangular box has a base that is a rectangle with  are 10 and 6, find the height of the trapezoid. c) 6. 8) In triangle ABC, the measure of angle A is 60 degrees. If the measure of angle B is  12) Square ABCD, above, has coordinates: C(-2, 2) and D(-2, -2).

Hope this helped!