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Fiesta28 [93]
3 years ago
8

Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION

Mathematics
2 answers:
Vlada [557]3 years ago
8 0

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Simply plug in our coordinates into the distance formula:

d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}

d = \sqrt{(2)^2+(-2)^2}

d = \sqrt{4+4}

d = \sqrt{8}

To find the decimal, simply evaluate the square root:

√8 = 2.82843

Sunny_sXe [5.5K]3 years ago
3 0

Answer:

<h3>\boxed{2 \sqrt{2}  \:  \: units}</h3>

Step-by-step explanation:

Let the points be A and B

A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )

B ( -3 , - 8 )⇒( x₂ , y₂ )

Now, let's find the distance between these two points:

AB = \mathsf{  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }

Plug the values

⇒\mathsf{ \sqrt{( - 3 - ( - 5) )^{2} +  {( - 8 - ( - 6))}^{2}  } }

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒\mathsf{ \sqrt{ {( - 3 + 5)}^{2}  +  {( - 8 + 6)}^{2} } }

Calculate

⇒\mathsf{ \sqrt{ {(2)}^{2} +  {( - 2)}^{2}  } }

Evaluate the power

⇒\mathsf{ \sqrt{4 + 4} }

Add the numbers

⇒\mathsf{\sqrt{8} }

Simplify the radical expression

⇒\mathsf{ \sqrt{2 \times 2 \times 2}}

⇒\mathsf{2 \sqrt{2} } units

Hope I helped!

Best regards!

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Step-by-step explanation:

Each successive year, he

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(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

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