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shusha [124]
3 years ago
13

Find the midpoint of the segment that has endpoints at (a+b, a-b) and (a, b).

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:

((2a+b)/2 , a/2)

Step-by-step explanation:

The midpoint is the mean/average of both the x and y values.

Our x values are a+b and a

Our y values are a-b and b

The midpoint x value is (a+b + a ) /2 = (2a + b)/2

The midpoint y value is (a-b + b) /2 = (a)/2

The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint

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a 24000 gallon pool is being filled at a rate of 40 gallons per minute. at this rate, how many minutes will it take to fill this
ruslelena [56]
<span>First you take 3/4 of the tank (18000 gallons) 
then you have to divide that by 40 to find out how many minutes it will take to get it. 
the answer would be 450 minutes</span><span>i hope that thiss helps you out, have an amazing day!!</span>
4 0
3 years ago
If f(x)=3x^2+1 and g(x) =1-x, what is the truly value of (f-g)(2)
Lilit [14]

Answer:

14

Step-by-step explanation:

f(x)=3x²+1

f(2) = 3 x 2² + 1 = 13

g(x) =1-x

g(2) = 1 - 2 = -1

(f-g)(2) f(2) - g(2) = 13 - (-1) = 14

8 0
3 years ago
Find the 52nd term of the following arithmetic sequence.<br> 17, 22, 27, 32, ...
rewona [7]

Answer:

17; 22; 27; 32

the terms increase by 5 each time

17 + 5 = 22 (the second term)

17 + 5 * 2 = 27 (third term)

So to get to the 52nd term, we have to add 5* 51 = 255 to 17

17 + 255 = 272

Step-by-step explanation:

4 0
3 years ago
No Spam. I will mark Brainliest, if you get it right. A tank's length is 4 feet longer than its width. The height is 2 feet more
dmitriy555 [2]

Answer: 3

Step-by-step explanation:

Let say x the width of the tank,

x+4 its length,

x+2 its height

Volume=105=x(x+4)(x+2)\\\\P(x)=x^3+6x^2+8x-105=0\\\\105=3*5*7\\\\P(1)\neq 0\\P(-1)\neq 0\\P(3)=0\\\\\begin{array}{|c|cccc|}&x^3&x^2&x&1\\&1&6&8&-105\\x=3&&3&27&105\\----&--&--&--&--\\&1&9&35&0\\\end{array}\\\\\\P(x)=x^3+6x^2+8x-105=(x-3)(x^2+9x+35)\\And \ x^2+9x+35\ is\ not \ factorizable\ (\Delat=9^2-4*35 < 0)\\

<u>width=3</u>

length=3+4=7

height=3+2=5

4 0
3 years ago
Is this statement true or false 5/12 = 2/6
AveGali [126]

Answer:

False

Step-by-step explanation:

6*2= 12

So to get common denominators, you would need to divide 5/12 by 2 OF multiply 2/6 by 2

For the sake of ease just multiply 2/6 by 2, this will equal 4/12 NOT 5/12

Hope this helps! :)

6 0
3 years ago
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