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Allushta [10]
3 years ago
10

Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

<h3>The answer is 17.80 units</h3>

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

(-8,19) and (3,5)

The distance between them is

d =  \sqrt{ ({ - 8 - 3})^{2}  +  ({1 9 - 5})^{2} }  \\  =  \sqrt{( { - 11})^{2}  +  {14}^{2} }  \\  =  \sqrt{121 + 196}  \\  =  \sqrt{317}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 17.804493...

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

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Find the distance between the points (1, 7) and (10, 1)<br> Please help:)
klio [65]

Answer:

<em>The distance between the points (1, 7) and (10, 1) is 10.82 units</em>

Step-by-step explanation:

<u>Distance between two points </u>

The distance between points A(x,y) B(w,z) can be calculated with the formula:

d=\sqrt{(z-y)^2+(w-x)^2}

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

d=\sqrt{(1-7)^2+(10-1)^2}

d=\sqrt{(-6)^2+(9)^2}

d=\sqrt{36+81}=\sqrt{117}\approx 10.82

The distance between the points (1, 7) and (10, 1) is 10.82 units

7 0
3 years ago
If the diameter is 12 miles. What is the circles circumference?​
Basile [38]

C≈37.7mi

I hope it's helpful

4 0
3 years ago
Solve the following absolute value inequality.<br> |(5x-4)-3|&lt;0.01
12345 [234]

Answer:

<h2>Step-by-step explanation:</h2><h2>|(5x-4)-3|<0.01</h2><h2>so -0.01<(5x-4-3)<0.01</h2><h2>add 7</h2><h2>7-0.01<5x<7+0.01</h2><h2>6.99<5x<7.01</h2><h2>divide by 5</h2><h2>1.398<x<1.402</h2>
7 0
3 years ago
M is the midpoint of AB. A is at (-5, 1) and M is (-1,4). Find the coordinates of B. Select one: O a (-3.2.5) O b.(-1.4) O c. (2
coldgirl [10]

Answer:

A (-3, 2.5)

Step-by-step explanation:

Midpoint formula is m=(x1 + x2/2), (y1 + y2/2)

So add the xs: -5 + -1 = -6

And the ys: 1 + 4 = 5

Then divide them by 2

(-3, 2.5)

4 0
3 years ago
In the figure, VW || YZ. Find the value of x, and the measure of YA and WA.
svetoff [14.1K]

Step-by-step explanation:

because VW || YZ, the 2 triangles are similar.

this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.

and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.

so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.

e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.

7.2 × f = 12

f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3

x × 5/3 = x + 4

5x = 3x + 12

2x = 12

x = 6

A to Y = x = 6

W to A = x + 4 = 6 + 4 = 10

5 0
2 years ago
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