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3241004551 [841]
2 years ago
12

Find the distance between each pair of points. (-1, -2), (1,5)​

Mathematics
1 answer:
fgiga [73]2 years ago
3 0

Answer:

\sqrt{53}

Step-by-step explanation:

To find the distance between two points, we can use the distance formula. The distance formula is:

\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

By plugging in (-1, -2) and (1, 5) into the distance formula, we get:

\sqrt{(1-(-1))^{2}+(5-(-2))^{2}}=\sqrt{(1+1)^{2}+(5+2)^{2}}=\sqrt{(2)^{2}+(7)^{2}}=\sqrt{4+49}=\sqrt{53}

So the distance between the two points is \sqrt{53}.

I hope you find my answer and explanation to be helpful. Happy studying.

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Which of the following demonstrates the identity property?
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Triangle FGH with vertices F(6,6), G(8,8), and H(8,3): (a) Reflection: in the line x = 5 (b) Translation: (x,y)→ (x - 7, y - 9)
irakobra [83]

(a) The vertices after the reflection in the line x = 5 are F'(4,6) , G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

In the question a triangle FGH with vertices F(6,6) , G(8,8) and H(8,3) is given

Part (a)

the rule for reflection of point (x,y) by the line x = p  is

(x,y) → (2×p - x , y)

reflection by the line x = 5 ,

we get

the vertices as

F'(2×5-6,6) = (4,6)

G'(2×5-8,8) = (2,8)

H'(2×5 - 8 ,3) = (2,3)

Part (b)

the rule of translation is given as (x,y)→ (x - 7, y - 9)

So , the vertices after translation are

F''(6-7 , 6-9) = (-1,-3)

G''(8-7,8-9) = (1,-1)

H''(8-7,3-9) = (1,-6)

Therefore , (a) The vertices after the reflection in the line x = 5 are F'(4,6)

G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

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1 year ago
Whats the scale factor brainist
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Answer:

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The function f(x) is defined as f(x) = One-third(6)x. Which table of values could be used to graph g(x), a reflection of f(x) ac
a_sh-v [17]

The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)

<h3>How to determine the table of values?</h3>

From the question, we have the following equation that can be used in our computation:

f(x) = One-third(6)x

When this statement is represented as an equation, we have the following representation

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This means that

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The table that represents this is table (c)

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