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3 years ago

Find the distance from point M to point N on the graph shown. Round your answer to

Mathematics

1 answer:

Anestetic [448]3 years ago

7 0

Answer:

3. 8.60 units

Step-by-step explanation:

Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, $d = \sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2}$

M(-2, 4) => (x1, y1)

N(5, -1) => (x2, y2)

Plug in the values into the formula

$d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2}$

$d = \sqrt{(7)^2 + (-5)^2}$

$d = \sqrt{49 + 25}$

$d = \sqrt{74}$

$d = 8.60 units$

You might be interested in

(a) Work out the reciprocal of 1.25

Oxana [17]

Answer:

0.8 OR $\frac{4}{5}$

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

$\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1$

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

$\frac{125/25}{100/25}=\frac{5}{4}$

Now we just flip 5/4 to get our reciprocal:

$\frac{4}{5}$ = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 ( $\frac{5}{4}$ ) is 0.8 ( $\frac{4}{5}$ ).

Hope this helped!

8 0

2 years ago

John and Belinda played a nine holes of golf. John's score was 10 less than two times Belinda's score. If Johns score was 54 str

polet [3.4K]

Answer:

Belinda's score is 32 strokes.

Step-by-step explanation:

Let the score of John be "x" and Belinda be "y".

It is given that, in the game of golf, John's score was 10 less than two times Belinda's score.

Also, John's score is 54 strokes.

The above equation can be written as ;

$x = 2(y) -10$

Here, x = 54,

$54 = 2(y) -10$

$64 = 2(y)$

$y = 32$

Thus, Belinda's score is 32 strokes.

6 0

2 years ago

Evaluate the algebraic expression 6g - 11 =8

Alexandra [31]

The answer is to G is -2

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3 years ago

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prisoha [69]

Answer:

Step-by-step explanation:

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2 years ago

Which graph represents the system of inequalities? 3x+5y<10 x−y≤1

Komok [63]

Answer:

I believe it's the one on the bottom left

Step-by-step explanation:

I'm still taking my test so I'll come back later to tell you if it's correct.

4 0

3 years ago