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bogdanovich [222]
3 years ago
11

Find the midpoint of the segment with the given endpoints. (-10,10) and (-9,6)

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

The answer is

<h2>( -  \frac{19}{2}  \: , \: 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-10,10) and (-9,6)

The midpoint is

<h3>M = ( \frac{ - 10 - 9}{2}  , \:  \frac{10 - 6}{2} ) \\  = ( -  \frac{19}{2}  \: , \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( -  \frac{19}{2}  \: , \: 2)</h3>

Hope this helps you

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Answer:

radius is 8 ft

Step-by-step explanation:

circumference formula is 2pi r

so if the circumference is 16 pi, we divide it by 2 to get 8 pi and divide it by pi to get 8.

8 0
3 years ago
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Beinggreat78 your lookin for this lol
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Step-by-step explanation below

8 0
3 years ago
The nominal rate on Sarah’s loan is 7. 250%. If the interest is compounded monthly, what rate of interest is Sarah actually pa
ella [17]

The correct statement is that Sarah is paying interest compounded monthly at the rate of 7.496%.. So, the correct option from the above statement is B.  

Compound interest can be calculated by the way of applying the values to the formula given in the information.  

<h3>Compound Interest</h3><h3 />
  • Compound interest is best defined with the terms as interest given on accrued interest or the accumulated interest in addition to the interest on the principalprincipal amount.

  • The formula to calculate Compounded interest is as below,

  • \rm Compounded\ Interest = 10000(1+ \dfrac {0.0725}{12})^1^2\\\\\\\rm Compounded\ Interest =10000(1+0.006)^1^2\\\\\\\rm Compounded\ Interest =10749.58\\

  • The interest to be paid is calculated as $749.58 assuming that the principal was $10000 and the time for such loan was 1 year in the absence of information.

 

  •  Calculating further, we can find that the effective rate of interest on such a loan is at the rate of 7.496%, which is rounded off to the nearest three decimal places.

Hence, the correct option is B that the actual interest paid by Sarah at the rate of 7.250% for the period of 1 year will be effectively 7.496%

 

To know more about compound interest, click the link below.

brainly.com/question/25857212

5 0
3 years ago
What does the expression 5(x+3) mean?
IRISSAK [1]
Number 1 would be the correct answer :)
7 0
4 years ago
In a pen of goats and chickens there are 25 heads and 90 feet. How many goats and chickens are in the pen.
Anna [14]

Answer:

5 chickens, 20 goats

Step-by-step explanation:

We can set up two equations and use substitution

There are 25 total goats and chickens, so

G + C = 25

Goats have 4 feet and chickens have two, so

4G + 2C = 90\\

By solving for G in the first equation,

G = 25 - C\\

We can now use substitution,

G = 25 - C\\4G + 2C = 90\\4(25 - C) + 2C = 90\\100 - 4C + 2C = 90\\-2C = -10\\C = 5\\

We have 5 chickens, so we have 20 goats.

Let's double check:

5(2) + 20(4) = 90\\10 + 80 = 90\\90 = 90\\

It checks out!

3 0
4 years ago
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