Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (1, −2), 𝐵 ≡ (5, −4)

hint Hint:

Distance between two points having coordinates (x1, y1) and (x2, y2) is given by formula:
Distance = $square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root$

The correct answer is: 4.47 units.

Step by step explanation:

○        Given:
Points A (1, -2) and B (5, -4).
○        Step 1:
○        Find distance:
○     Distance = $equals square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root$
Distance = $square root of left parenthesis 5 minus 1 right parenthesis squared plus open parentheses negative 4 minus left parenthesis negative 2 right parenthesis squared close end root$
$rightwards double arrow$ Distance = $square root of left parenthesis 4 right parenthesis squared plus left parenthesis negative 4 plus 2 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of left parenthesis 4 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root$
$rightwards double arrow$ Distance = $equals square root of 16 plus 4 end root$
$rightwards double arrow$ Distance = $square root of 20$
$rightwards double arrow$ Distance = 4.47 units
●       Final Answer:
Hence, the distance between points is 4.47 units.

Related Questions to study

Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)

Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)

The distance between the segment joining origin and (x, y) is

The distance between the segment joining origin and (x, y) is

Compare the distance AB with AC.

Compare the distance AB with AC.

parallel

Find the distance between points A (3,8) and B (15,3).

Find the distance between points A (3,8) and B (15,3).

If M (1,1) is the midpoint of a line segment joining origin and point P, find the coordinates of P.

If M (1,1) is the midpoint of a line segment joining origin and point P, find the coordinates of P.

Find the coordinates of the midpoint of 𝐶𝐷.

Find the coordinates of the midpoint of 𝐶𝐷.

parallel

What will be the midpoint of a line segment joining origin and (4,10)?

What will be the midpoint of a line segment joining origin and (4,10)?

Find the coordinates of the midpoint M of the pencil.

Find the coordinates of the midpoint M of the pencil.

Find the value of x.

Find the value of x.

parallel

Find the coordinates of T.

Find the coordinates of T.

Find the coordinates of E.

Find the coordinates of E.

Find the length of the pencil.

Find the length of the pencil.

parallel

10 ropes of length 1.25 m are joined together. What is the length of the new rope? Explain and name the postulate you used.

10 ropes of length 1.25 m are joined together. What is the length of the new rope? Explain and name the postulate you used.

If 𝑋 ≡ (−7,0) 𝑎𝑛𝑑 𝑌 ≡ (3,0), find the distance between the points 𝑋 and 𝑌.

If 𝑋 ≡ (−7,0) 𝑎𝑛𝑑 𝑌 ≡ (3,0), find the distance between the points 𝑋 and 𝑌.

𝐼 is the midpoint of 𝐻𝐽 and 𝐻𝐽 = 12.8 𝑐𝑚
Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

𝐼 is the midpoint of 𝐻𝐽 and 𝐻𝐽 = 12.8 𝑐𝑚
Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.