Maths-

General

Easy

Question

Compare the distance AB with AC.

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: 1.13 units.

Step by step explanation:

○        Given:
Points A (5,6), B (11,10) and C(11, 5).
○        Step 1:
○        Find distance between AB
○        A (5,6) and B (11,10)
○     Distance = $square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root$
Distance = $square root of left parenthesis 11 minus 5 right parenthesis squared plus left parenthesis 10 minus 6 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of left parenthesis 6 right parenthesis squared plus left parenthesis 4 right parenthesis squared end root$
$rightwards double arrow$ Distance = $equals square root of 36 plus 16 end root$
$rightwards double arrow$ Distance = $square root of 52$
$rightwards double arrow$ Distance = 7.21 units
○        Step 1:
○        Find distance between AC
○        A (5,6) and C (11,5)
○     Distance = $square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root$
Distance = $square root of left parenthesis 11 minus 5 right parenthesis squared plus left parenthesis 5 minus 6 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of left parenthesis 6 right parenthesis squared plus left parenthesis negative 1 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of 36 plus left parenthesis 1 right parenthesis end root$
$rightwards double arrow$ Distance = $square root of 37$
$rightwards double arrow$ Distance = 6.08 units
○        Step 1:
○        Difference between AB and AC
$rightwards double arrow$ 7.21 - 6.08
$rightwards double arrow$ 1.13 units
●       Final Answer:
Hence, AB is longer than AC by 1.13 units.

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

Maths-General

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

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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.

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

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General

Maths-

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

Maths-General

General

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Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

Maths-General

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Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y

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General

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A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
Describe the relationship between the two variables ?
Sketch the graph.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Compare the distance AB with AC.

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: 1.13 units.

Related Questions to study

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.

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.

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.

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.

Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y

A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
Describe the relationship between the two variables ?
Sketch the graph.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Compare the distance AB with AC.

Distance between two points having coordinates (x1, y1) and (x2, y2) is given by formula:Distance =

The correct answer is: 1.13 units.

Related Questions to study

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.

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.

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.

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 𝑐𝑚Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

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

Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y48=2X+ 2Y

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y48=2X+ 2Y

A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?Describe the relationship between the two variables ?Sketch the graph.

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

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.

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y

Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y

A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
Describe the relationship between the two variables ?
Sketch the graph.