Question

Find the distance between the origin and the

point:

(1) (-8, 6)

(ii) (8, -15)

(ii) (-5, -12)

​

Answer 1

Question:

Find the distance between the origin and the point

• (-8, 6)

• (8, -15)

• (-5, -12)

Answer:

Part 1:

• A→(-8,6)
• B→(0,0)

Step by step explanation:

$\implies AB = \sqrt{ {(0 - ( - 8))}^{2} + {(0 - 6)}^{2} }$

$\implies AB= \sqrt{ {(0 + 8)}^{2} + {( - 6)}^{2} }$

$\implies AB = \sqrt{64 + 36}$

$\implies AB = \sqrt{100}$

$\implies \orange{ AB = 10✓}$

Part 2:

• A→(8, -15)
• B→(0,0)

Step by step explanation:

$\implies AB = \sqrt{(8 - 0 {)}^{2} + ( - 15 - 0 {)}^{2} }$

$\implies AB = \sqrt{ {(8)}^{2} + {( - 15)}^{2} }$

$\implies AB = \sqrt{64 + 225}$

$\implies AB = \sqrt{289}$

$\implies AB = \sqrt{17 \times 17}$

$\implies\purple{ AB = 17✓}$

Part 3:

• A→(-5,-12)
• B→(0,0)

Step by step explanation:

$\implies AB = \sqrt{ {( - 5 - 0)}^{2} + {( - 12 - 0)}^{2} }$

$\implies AB = \sqrt{ {( - 5)}^{2} + {( - 12)}^{2} }$

$\implies AB = \sqrt{25 + 144}$

$\implies AB = \sqrt{169}$

$\implies \pink{AB = 13✓}$

________________________________

With regards!

★Dull Star★

Answer 2

Answer:

hope it's help you

Step-by-step explanation:

Find the distance between the origin and the point

(-8, 6)

(8, -15)

(-5, -12)

Answer:

Part 1:

A→(-8,6)

B→(0,0)

Step by step explanation:

\implies AB = \sqrt{ {(0 - ( - 8))}^{2} + {(0 - 6)}^{2} }⟹AB=

(0−(−8))

2

+(0−6)

2

\implies AB= \sqrt{ {(0 + 8)}^{2} + {( - 6)}^{2} }⟹AB=

(0+8)

2

+(−6)

2

\implies AB = \sqrt{64 + 36}⟹AB=

64+36

\implies AB = \sqrt{100}⟹AB=

100

\implies \orange{ AB = 10✓}⟹AB=10✓

Part 2:

A→(8, -15)

B→(0,0)

Step by step explanation:

\implies AB = \sqrt{(8 - 0 {)}^{2} + ( - 15 - 0 {)}^{2} }⟹AB=

(8−0)

2

+(−15−0)

2

\implies AB = \sqrt{ {(8)}^{2} + {( - 15)}^{2} }⟹AB=

(8)

2

+(−15)

2

\implies AB = \sqrt{64 + 225}⟹AB=

64+225

\implies AB = \sqrt{289}⟹AB=

289

\implies AB = \sqrt{17 \times 17}⟹AB=

17×17

\implies\purple{ AB = 17✓}⟹AB=17✓

Part 3:

A→(-5,-12)

B→(0,0)

Step by step explanation:

\implies AB = \sqrt{ {( - 5 - 0)}^{2} + {( - 12 - 0)}^{2} }⟹AB=

(−5−0)

2

+(−12−0)

2

\implies AB = \sqrt{ {( - 5)}^{2} + {( - 12)}^{2} }⟹AB=

(−5)

2

+(−12)

2

\implies AB = \sqrt{25 + 144}⟹AB=

25+144

\implies AB = \sqrt{169}⟹AB=

169

\implies \pink{AB = 13✓}⟹AB=13✓