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____ [38]
3 years ago
12

using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (20,-15) and (-11,-10)​

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

(9/2, -25/2)

Step-by-step explanation:

The Midpoint Formula:  The midpoint of the segment joining points (x_1,\,y_1) and (x_2,\,y_2) is \left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right).

\left(\frac{20+(-11)}{2},\,\frac{-15+(-10)}{2}\right)

(\frac{9}{2},\,-\frac{25}{2})

By the way, instead of trying to memorize the formula, why not just think the x-coordinate of the midpoint is the average of the x-coordinates of the points. The y-coordinate of the midpoint is the average of the y-coordinates of the points.

The average of two numbers is exactly halfway between them!

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The scale of a map is 1 cm: 77 km.
laiz [17]

\bf \stackrel{map}{1~cm}\qquad :\qquad \stackrel{actual}{77~km}\qquad \cfrac{map}{actual}=\cfrac{1}{77}~\hfill \cfrac{\stackrel{map}{3}}{\underset{actual}{a}}=\cfrac{1}{77}\implies 231=a

4 0
3 years ago
Find the solutions of the quadratic equation 14x^2+9x+10=014x
Vesnalui [34]

Answer:

Option B. x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

14x^{2}+9x+10=0

so

a=14\\b=9\\c=10

substitute in the formula

x=\frac{-9(+/-)\sqrt{9^{2}-4(14)(10)}} {2(14)}

x=\frac{-9(+/-)\sqrt{-479}} {28}

Remember that

i=\sqrt{-1}

substitute

x=\frac{-9(+/-)\sqrt{479}i} {28}  

x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i

5 0
3 years ago
A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the ta
kicyunya [14]

Answer:

The debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Step-by-step explanation:

The assignment of how much is owed to the responsible party is the major reason of a proration.

For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.

Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67

Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63

Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29

Therefore, the debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

8 0
3 years ago
Which lists all the integer solutions of the equation |x| = 10?
kakasveta [241]

There is no list and no choices given.

The solutions of     | x | = 10   are   x = 10  and   x = -10 .
 
All (both) solutions happen to be integers.
There are no other solutions.

5 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST!!! 70 POINTS!!! for real answers plz(●'◡'●)
Slav-nsk [51]

Answer:

In explanation ! :P

Step-by-step explanation:

Likes hamburgers and burritos : 39

Likes nothing : 33

Total missing : 205

Percentage who do like nothing : 16,09 %

Percentage who like all (without frequency table ) : 19,02 %

( without relative frequencies, sorry they don't let me :( : Is people who don't like burritos but likes hamburgers,they are the strongest )

I hope I helped you !^^

Sorry they don't let me do the frequency table ! :(

5 0
3 years ago
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