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sleet_krkn [62]
3 years ago
13

Finding distance between each pair of points. how to know which is x1 y1 and x2 y2 when using (x2-x1)^2 + (y2-y1)^2? People are

saying it doesnt matter but wouldnt it be different if you answered it but switched them up?

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

<u>It doesn't matter what order the coordinates are in the distance formula as long as it stays in it's corresponding order.</u> In this case, (-7,5) could be (x1,y1) and (3,-5) could be (x2,y2) or vise versa, just as long as you don't mix up the coordinates (so no (-7,-5) or (3,5)). I'll demonstrate this below:

\sqrt{(-7-3)^2+(5-(-5))^2}\\\sqrt{(-10)^2+(10)^2}\\\sqrt{100+100}\\\sqrt{200}\\\\\sqrt{(3-(-7))^2+(-5-5)^2}\\\sqrt{(10)^2+(-10)^2}\\\sqrt{100+100}\\\sqrt{200}

<u>The distance between these points, no matter the order, is √200, or approximately 14.14 units.</u>

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Find the equation of the linear function passing through (2,3) and (5,12)
Elis [28]

y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)

<em><u>Solution:</u></em>

Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)

The formula y = mx + b is said to be a linear function

Where "m" is the slope of line and "b" is the y - intercept

Let us first find the slope of line

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=2 ; y_{1}=3 ; x_{2}=5 ; y_{2}=12

Substituting values we get,

m=\frac{12-3}{5-2}=\frac{9}{3}=3

Thus slope of line is m = 3

To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b

3 = 3(2) + b

3 = 6 + b

b = 3 - 6

b = -3

Thus the required equation of linear function is:

Substitute m = 3 and b = -3 in formula

y = mx + b

y = 3x - 3

Thus the equation of linear function is found

6 0
3 years ago
Find the Interest Earned.
Alex787 [66]
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Interest earned
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A=7,200×(1+0.04)^(8)
A=9,853.69

I=9,853.69−7,200
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A=15,520×(1+0.06÷2)^(2×4)
A=19,660.27

I=19,660.27−15,520
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5 0
3 years ago
April recieved $1,800 from her grandmother as a birthday gift. She decided to put the money in an account to save for college. I
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A = 1800(1 + (0.09 × 5)) = 2610 
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3 years ago
Rachel jogged along a trail that was one fourth of a mile long.she jogged along the trail 8times .how many miles did rachael jog
anygoal [31]
So you are given that the trail is 1/4 a mile
she jogged 8 *TIMES*
so 8 * 1/4 = the total miles she jogged
That equals to 2 miles...

Hope this helps :)
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3 years ago
A team of runners is needed to run a 1/4 mile relay race. If each runner must run 1/16 mile how many runners will be needed?
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7 0
3 years ago
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