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stepladder [879]
3 years ago
10

What is the distance between (-4,6) (3,-7)

Mathematics
1 answer:
dalvyx [7]3 years ago
6 0

Answer:

The answer is

<h2>\sqrt{218}  \:  \: or \:  \: 14.76 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,6) and (3,-7)

The distance is

<h3>d =  \sqrt{ ({ - 4 - 3})^{2} +  ({6 + 7})^{2}  }  \\  =  \sqrt{( { - 7})^{2}  +  {13}^{2} }  \\  =  \sqrt{49 + 169}  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{218}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 14.7648230602</h3>

We have the final answer as

<h3>\sqrt{218}  \:  \: or \:  \: 14.76 \:  \:  \: units</h3>

Hope this helps you

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Which of the following is the usually first step when using a general strategy for solving equations with fractions?
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Answer:

A. multiply both sides by the LCD

Step-by-step explanation:

It helps cancel out fractions, making it easier to solve the equations

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3 years ago
Solve for x:<br> 4x + 10 = 34
VladimirAG [237]

Answer:

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Step-by-step explanation:

4x+10=34

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7 0
3 years ago
Read 2 more answers
I need help with this, please. Any advice would be appreciated.
mote1985 [20]

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

S_{n} = \frac{n}{2} [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

S_{8} = \frac{8}{2} [ 10 + (7 × 3) ]

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8 0
3 years ago
Which ordered pale is a solution to the system of equations?
Softa [21]

Answer:

c) (-2, 1)

Step-by-step explanation:

3x - 3y = -9

2x + y = -3

2x + y = -3

-2x       -2x

y = -2x - 3

3x - 3y = -9

y = -2x - 3

3x - 3(-2x - 3) = -9

3x + 6x + 9 = -9

9x + 9 = -9

    - 9    -9

9x = -18

/9     /9

x = -2

y = -2x - 3

y = -2(-2) -3

y = 4 - 3

y = 1

(x, y) --> (-2,1)

Check your answer:

y = -2x - 3

1 = -2(-2) - 3

1 = 4 - 3

1 = 1

This statement is true

Hope this helps!

5 0
2 years ago
Not right answer... Help
Igoryamba

Answer: -6

Step-by-step explanation:

3 0
3 years ago
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