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3 years ago

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What does it mean about how parallel lines change when you translate them

1 answer:

VLD [36.1K]3 years ago

7 0

Answer:

When you translate parallel lines, you simply move them around without changing other properties. In the figure above, we have lines x and y translated 3 units apart from each other. The distance between the two lines still remains constant, however no other properties have changed.

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Solve |x| + 7 < 4

Semenov [28]

$|x|+7$

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3 years ago

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

Mama L [17]

For this case we have that by definition, the equation of the line in a slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have the following equation:

$y = 2x + 2$

Thus, the slope is $m_ {1} = 2$

By definition, if two lines are perpendicular then the product of the slopes is -1.

$m_ {1} * m_ {2} = - 1$

We find $m_ {2}:$

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {2}$

Thus, the equation of the line is:

$y = - \frac {1} {2} x + b$

We substitute the given point to find "b":

$3 = - \frac {1} {2} 6 + b\\3 = -3 + b\\b = 6$

Thus, the equation of a line perpendicular to the given line and passing through the given point is:

$y = - \frac {1} {2} x + 6$

Answer:

$y = - \frac {1} {2} x + 6$

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3 years ago

Read 2 more answers

You are making several purchases from the I.B. Electric electronics store. You can buy from this store online or in a physical s

hammer [34]

Answer:

Online store will save the most money

Step-by-step explanation:

<u>Amount used in Physical store</u>

Batteries 2packs @$5.99 cost = $5.99*2=$11.98

Stereo 1 system @$100 cost = $100*1=$100

CDs 3 CDs @$7.95 cost = $ 23.85

Total cost= $11.98+$100+$23.85= $135.83

Applying the 10% off coupon = 90/100 * $135.83 =<u>$ 122.25</u>

Applying sale tax 5% = 105/100 * 122.25=<u>$128.36</u>

Amount to spend when using physical store= $128.36

<u>Now</u><u> </u><u>calculate for the online store</u>

Batteries 2packs @$4.99 cost= $4.99*2=$ 9.98

Stereo 1 system @$90 cost= $ 90 *1= $90

CDs 3 CDs @$8.95 cost = $8.95*3=$26.85

Total cost=$9.98+$90+$26.85=$126.83

Applying the 5% off coupon= 95/100*126.83=$120.49

Applying the sale tax, $6.99+$120.49=$127.48

Comparing the two ways,

Physical store= $128.36

Online store=$127.48

Online store will save the most money by ($128.36-$127.48)=<u>0.88</u>

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I really need help with this

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13/30 chance as you only need to look at the "C" section

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