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alukav5142 [94]
3 years ago
14

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded

to the nearest tenth?
Mathematics
2 answers:
Whitepunk [10]3 years ago
4 0

Answer:

<h3>The answer is 17.5 units</h3>

Step-by-step explanation:

Using the distance formula

<h3>d =  \sqrt{ ({x2 - x1})^{2} +  ({y2 - y1})^{2}  }</h3>

the distance between (-10, 12) and (5, 3) is

<h3>d =  \sqrt{ ({5 + 10})^{2}  +  ({3 - 12})^{2} }</h3><h3>d =  \sqrt{ {15}^{2}  + ( { - 9})^{2} }</h3><h3>d =  \sqrt{225 + 81}</h3><h3>d =  \sqrt{306}</h3><h3>d = 3 \sqrt{34}</h3>

d = 17.492855

We have the final answer as

<h3>d = 17.5 units to the nearest tenth</h3>

Hope this helps you

Veseljchak [2.6K]3 years ago
4 0

Answer:17.5

Step-by-step explanation:

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Answer:

Part 40) y=-2x+9

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Step-by-step explanation:

Remember that

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Part 40) Write an equation of the line that passes through the given point

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Given line y=-2x+7

step 1

Find the slope of the given line

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Find equation of the line that passes through the given point and is parallel to the given line

we have

m=-2

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y=-2x+9

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

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Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

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The slope of the given line is

m=5

step 2

Find the y-intercept b

b=6 ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=5

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substitute in the linear equation

y=5x+6

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and is parallel to the given line

we have

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step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

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where

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Find the y-intercept b

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step 3

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m=\frac{2}{3}

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substitute

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