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svp [43]
4 years ago
9

Find the midpoint and length between each pair of points. (5,5) (-1,3) PLEASE HELP!!

Mathematics
1 answer:
Sphinxa [80]4 years ago
6 0

Answer:

(2, 4)

Step-by-step explanation:

Midpoint Formula: (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

Simply plug in your coordinates into the formula:

x = (5 - 1)/ 2 = 4/2 = 2

y = (5 + 3)/2 = 8/2 = 4

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The difference between them is $15.50 or your rounded answer is 18
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3 years ago
What are some easy ways to find the value of<br> (2017^4−2016^4)/(2017^2+2016^2) without calculator
scoray [572]

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

<h3>\frac{(2017^2+2016^2)(2017^2 - 2016^2)}{2017^2+2016^2}</h3>

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by \frac{2017^2+2016^2}{2017^2+2016^2} which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

8 0
3 years ago
Mr. Clark wants to pay for his order with a $20 bill, but Jeremy does not have change. Jeremy tells Mr. Clark he will give him t
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Answer:

$20 + $-11.25 = $8.75

Step-by-step explanation:

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On avarage kayla drinks 3/4 of an 6 ounce glass of water 1/6 of an hour.How much water does she drink, in glasses per hour?
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Answer:

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Step-by-step explanation:

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3 years ago
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The linear equation represents y = mx + b describes several real world situations such as

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<u>Step-by-step explanation</u>:

Linear equations  y = mx + b.  

m is your rate of change.

b is your constant. This is the initial value of y. The value of y when x is 0.

Finally, y is the thing that depends on x.

Oh right, examples:  

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total cost = 25(cartridges I buy) + 100 or y = 25x + 100

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3 years ago
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